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Finding the Fourth Proportional to 156,641.26, 216,159.14 and 85,019.74

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Solution

The fourth proportional to 156,641.26, 216,159.14 and 85,019.74 is: 117,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,641.26 : 216,159.14 = 85,019.74 : x
  2. Step 2: Convert to fraction form
    156,641.26/216,159.14 = 85,019.74/x
  3. Step 3: Cross multiply
    156,641.26x = 216,159.14 × 85,019.74
  4. Step 4: Simplify right side
    156,641.26x = 18,377,793,977.11
  5. Step 5: Solve for x
    x = 18,377,793,977.11/156,641.26
  6. Step 6: Final answer
    x = 117,324.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.