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Finding the Fourth Proportional to 103,233.83, 142,469.55 and 57,915

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Solution

The fourth proportional to 103,233.83, 142,469.55 and 57,915 is: 79,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,233.83 : 142,469.55 = 57,915 : x
  2. Step 2: Convert to fraction form
    103,233.83/142,469.55 = 57,915/x
  3. Step 3: Cross multiply
    103,233.83x = 142,469.55 × 57,915
  4. Step 4: Simplify right side
    103,233.83x = 8,251,123,988.25
  5. Step 5: Solve for x
    x = 8,251,123,988.25/103,233.83
  6. Step 6: Final answer
    x = 79,926.55

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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.