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Finding the Fourth Proportional to 178,206.20, 267,309.30 and 176,977.40

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Solution

The fourth proportional to 178,206.20, 267,309.30 and 176,977.40 is: 265,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,206.20 : 267,309.30 = 176,977.40 : x
  2. Step 2: Convert to fraction form
    178,206.20/267,309.30 = 176,977.40/x
  3. Step 3: Cross multiply
    178,206.20x = 267,309.30 × 176,977.40
  4. Step 4: Simplify right side
    178,206.20x = 47,307,704,909.82
  5. Step 5: Solve for x
    x = 47,307,704,909.82/178,206.20
  6. Step 6: Final answer
    x = 265,466.10

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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.