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Finding the Fourth Proportional to 138,123.96, 190,542.06 and 87,199.80

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Solution

The fourth proportional to 138,123.96, 190,542.06 and 87,199.80 is: 120,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,123.96 : 190,542.06 = 87,199.80 : x
  2. Step 2: Convert to fraction form
    138,123.96/190,542.06 = 87,199.80/x
  3. Step 3: Cross multiply
    138,123.96x = 190,542.06 × 87,199.80
  4. Step 4: Simplify right side
    138,123.96x = 16,615,229,523.59
  5. Step 5: Solve for x
    x = 16,615,229,523.59/138,123.96
  6. Step 6: Final answer
    x = 120,292.16

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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.