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Finding the Fourth Proportional to 116,854.56, 175,386 and 54,560.16

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Solution

The fourth proportional to 116,854.56, 175,386 and 54,560.16 is: 81,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,854.56 : 175,386 = 54,560.16 : x
  2. Step 2: Convert to fraction form
    116,854.56/175,386 = 54,560.16/x
  3. Step 3: Cross multiply
    116,854.56x = 175,386 × 54,560.16
  4. Step 4: Simplify right side
    116,854.56x = 9,569,088,221.76
  5. Step 5: Solve for x
    x = 9,569,088,221.76/116,854.56
  6. Step 6: Final answer
    x = 81,888.87

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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.