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Finding the Fourth Proportional to 178,043.80, 267,065.70 and 157,826.20

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Solution

The fourth proportional to 178,043.80, 267,065.70 and 157,826.20 is: 236,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,043.80 : 267,065.70 = 157,826.20 : x
  2. Step 2: Convert to fraction form
    178,043.80/267,065.70 = 157,826.20/x
  3. Step 3: Cross multiply
    178,043.80x = 267,065.70 × 157,826.20
  4. Step 4: Simplify right side
    178,043.80x = 42,149,964,581.34
  5. Step 5: Solve for x
    x = 42,149,964,581.34/178,043.80
  6. Step 6: Final answer
    x = 236,739.30

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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.