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Finding the Fourth Proportional to 156,966.38, 216,607.63 and 85,346.46

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Solution

The fourth proportional to 156,966.38, 216,607.63 and 85,346.46 is: 117,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966.38 : 216,607.63 = 85,346.46 : x
  2. Step 2: Convert to fraction form
    156,966.38/216,607.63 = 85,346.46/x
  3. Step 3: Cross multiply
    156,966.38x = 216,607.63 × 85,346.46
  4. Step 4: Simplify right side
    156,966.38x = 18,486,694,429.49
  5. Step 5: Solve for x
    x = 18,486,694,429.49/156,966.38
  6. Step 6: Final answer
    x = 117,774.87

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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.