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Finding the Fourth Proportional to 138,744.30, 191,468.55 and 75,083.58

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Solution

The fourth proportional to 138,744.30, 191,468.55 and 75,083.58 is: 103,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,744.30 : 191,468.55 = 75,083.58 : x
  2. Step 2: Convert to fraction form
    138,744.30/191,468.55 = 75,083.58/x
  3. Step 3: Cross multiply
    138,744.30x = 191,468.55 × 75,083.58
  4. Step 4: Simplify right side
    138,744.30x = 14,376,144,191.41
  5. Step 5: Solve for x
    x = 14,376,144,191.41/138,744.30
  6. Step 6: Final answer
    x = 103,616.11

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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.