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Finding the Fourth Proportional to 103,381.86, 142,649.88 and 60,948.58

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Solution

The fourth proportional to 103,381.86, 142,649.88 and 60,948.58 is: 84,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,381.86 : 142,649.88 = 60,948.58 : x
  2. Step 2: Convert to fraction form
    103,381.86/142,649.88 = 60,948.58/x
  3. Step 3: Cross multiply
    103,381.86x = 142,649.88 × 60,948.58
  4. Step 4: Simplify right side
    103,381.86x = 8,694,307,623.17
  5. Step 5: Solve for x
    x = 8,694,307,623.17/103,381.86
  6. Step 6: Final answer
    x = 84,098.97

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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.