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Finding the Fourth Proportional to 137,543.59, 189,843.92 and 83,858.21

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Solution

The fourth proportional to 137,543.59, 189,843.92 and 83,858.21 is: 115,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,543.59 : 189,843.92 = 83,858.21 : x
  2. Step 2: Convert to fraction form
    137,543.59/189,843.92 = 83,858.21/x
  3. Step 3: Cross multiply
    137,543.59x = 189,843.92 × 83,858.21
  4. Step 4: Simplify right side
    137,543.59x = 15,919,971,520.23
  5. Step 5: Solve for x
    x = 15,919,971,520.23/137,543.59
  6. Step 6: Final answer
    x = 115,744.92

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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.