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Finding the Fourth Proportional to 117,314.38, 161,765.42 and 87,155.66

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Solution

The fourth proportional to 117,314.38, 161,765.42 and 87,155.66 is: 120,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,314.38 : 161,765.42 = 87,155.66 : x
  2. Step 2: Convert to fraction form
    117,314.38/161,765.42 = 87,155.66/x
  3. Step 3: Cross multiply
    117,314.38x = 161,765.42 × 87,155.66
  4. Step 4: Simplify right side
    117,314.38x = 14,098,771,945.28
  5. Step 5: Solve for x
    x = 14,098,771,945.28/117,314.38
  6. Step 6: Final answer
    x = 120,179.40

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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.