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Finding the Fourth Proportional to 82,765.60, 123,585.55 and 78,088.15

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Solution

The fourth proportional to 82,765.60, 123,585.55 and 78,088.15 is: 116,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.60 : 123,585.55 = 78,088.15 : x
  2. Step 2: Convert to fraction form
    82,765.60/123,585.55 = 78,088.15/x
  3. Step 3: Cross multiply
    82,765.60x = 123,585.55 × 78,088.15
  4. Step 4: Simplify right side
    82,765.60x = 9,650,566,925.49
  5. Step 5: Solve for x
    x = 9,650,566,925.49/82,765.60
  6. Step 6: Final answer
    x = 116,601.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.