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Finding the Fourth Proportional to 103,081.72, 142,253.32 and 57,759.80

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Solution

The fourth proportional to 103,081.72, 142,253.32 and 57,759.80 is: 79,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,081.72 : 142,253.32 = 57,759.80 : x
  2. Step 2: Convert to fraction form
    103,081.72/142,253.32 = 57,759.80/x
  3. Step 3: Cross multiply
    103,081.72x = 142,253.32 × 57,759.80
  4. Step 4: Simplify right side
    103,081.72x = 8,216,523,312.54
  5. Step 5: Solve for x
    x = 8,216,523,312.54/103,081.72
  6. Step 6: Final answer
    x = 79,708.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.