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Finding the Fourth Proportional to 103,654.77, 155,293.53 and 71,997.95

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Solution

The fourth proportional to 103,654.77, 155,293.53 and 71,997.95 is: 107,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,654.77 : 155,293.53 = 71,997.95 : x
  2. Step 2: Convert to fraction form
    103,654.77/155,293.53 = 71,997.95/x
  3. Step 3: Cross multiply
    103,654.77x = 155,293.53 × 71,997.95
  4. Step 4: Simplify right side
    103,654.77x = 11,180,815,808.26
  5. Step 5: Solve for x
    x = 11,180,815,808.26/103,654.77
  6. Step 6: Final answer
    x = 107,865.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.