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Finding the Fourth Proportional to 103,575.78, 142,913.13 and 60,546.96

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Solution

The fourth proportional to 103,575.78, 142,913.13 and 60,546.96 is: 83,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,575.78 : 142,913.13 = 60,546.96 : x
  2. Step 2: Convert to fraction form
    103,575.78/142,913.13 = 60,546.96/x
  3. Step 3: Cross multiply
    103,575.78x = 142,913.13 × 60,546.96
  4. Step 4: Simplify right side
    103,575.78x = 8,652,955,565.58
  5. Step 5: Solve for x
    x = 8,652,955,565.58/103,575.78
  6. Step 6: Final answer
    x = 83,542.27

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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.