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Finding the Fourth Proportional to 156,931.38, 216,562.74 and 85,313.18

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Solution

The fourth proportional to 156,931.38, 216,562.74 and 85,313.18 is: 117,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,931.38 : 216,562.74 = 85,313.18 : x
  2. Step 2: Convert to fraction form
    156,931.38/216,562.74 = 85,313.18/x
  3. Step 3: Cross multiply
    156,931.38x = 216,562.74 × 85,313.18
  4. Step 4: Simplify right side
    156,931.38x = 18,475,656,018.91
  5. Step 5: Solve for x
    x = 18,475,656,018.91/156,931.38
  6. Step 6: Final answer
    x = 117,730.79

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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.