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Finding the Fourth Proportional to 140,153.72, 193,412.82 and 76,493

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Solution

The fourth proportional to 140,153.72, 193,412.82 and 76,493 is: 105,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,153.72 : 193,412.82 = 76,493 : x
  2. Step 2: Convert to fraction form
    140,153.72/193,412.82 = 76,493/x
  3. Step 3: Cross multiply
    140,153.72x = 193,412.82 × 76,493
  4. Step 4: Simplify right side
    140,153.72x = 14,794,726,840.26
  5. Step 5: Solve for x
    x = 14,794,726,840.26/140,153.72
  6. Step 6: Final answer
    x = 105,560.71

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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.