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Finding the Fourth Proportional to 178,193,846.80, 267,078,193.80 and 159,912,276.40

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Solution

The fourth proportional to 178,193,846.80, 267,078,193.80 and 159,912,276.40 is: 239,677,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,193,846.80 : 267,078,193.80 = 159,912,276.40 : x
  2. Step 2: Convert to fraction form
    178,193,846.80/267,078,193.80 = 159,912,276.40/x
  3. Step 3: Cross multiply
    178,193,846.80x = 267,078,193.80 × 159,912,276.40
  4. Step 4: Simplify right side
    178,193,846.80x = 42,709,081,947,358,368
  5. Step 5: Solve for x
    x = 42,709,081,947,358,368/178,193,846.80
  6. Step 6: Final answer
    x = 239,677,647.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.