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Finding the Fourth Proportional to 156,098.10, 233,819.10 and 129,854.10

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Solution

The fourth proportional to 156,098.10, 233,819.10 and 129,854.10 is: 194,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,098.10 : 233,819.10 = 129,854.10 : x
  2. Step 2: Convert to fraction form
    156,098.10/233,819.10 = 129,854.10/x
  3. Step 3: Cross multiply
    156,098.10x = 233,819.10 × 129,854.10
  4. Step 4: Simplify right side
    156,098.10x = 30,362,368,793.31
  5. Step 5: Solve for x
    x = 30,362,368,793.31/156,098.10
  6. Step 6: Final answer
    x = 194,508.25

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1.5x scale

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.