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Finding the Fourth Proportional to 107,658.61, 148,414.90 and 75,728.41

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Solution

The fourth proportional to 107,658.61, 148,414.90 and 75,728.41 is: 104,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,658.61 : 148,414.90 = 75,728.41 : x
  2. Step 2: Convert to fraction form
    107,658.61/148,414.90 = 75,728.41/x
  3. Step 3: Cross multiply
    107,658.61x = 148,414.90 × 75,728.41
  4. Step 4: Simplify right side
    107,658.61x = 11,239,224,397.31
  5. Step 5: Solve for x
    x = 11,239,224,397.31/107,658.61
  6. Step 6: Final answer
    x = 104,396.89

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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.