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Finding the Fourth Proportional to 138,714.53, 191,426.04 and 75,052.33

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Solution

The fourth proportional to 138,714.53, 191,426.04 and 75,052.33 is: 103,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,714.53 : 191,426.04 = 75,052.33 : x
  2. Step 2: Convert to fraction form
    138,714.53/191,426.04 = 75,052.33/x
  3. Step 3: Cross multiply
    138,714.53x = 191,426.04 × 75,052.33
  4. Step 4: Simplify right side
    138,714.53x = 14,366,969,846.11
  5. Step 5: Solve for x
    x = 14,366,969,846.11/138,714.53
  6. Step 6: Final answer
    x = 103,572.21

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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.