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Finding the Fourth Proportional to 135,573.35, 187,078.07 and 75,142.76

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Solution

The fourth proportional to 135,573.35, 187,078.07 and 75,142.76 is: 103,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,573.35 : 187,078.07 = 75,142.76 : x
  2. Step 2: Convert to fraction form
    135,573.35/187,078.07 = 75,142.76/x
  3. Step 3: Cross multiply
    135,573.35x = 187,078.07 × 75,142.76
  4. Step 4: Simplify right side
    135,573.35x = 14,057,561,767.74
  5. Step 5: Solve for x
    x = 14,057,561,767.74/135,573.35
  6. Step 6: Final answer
    x = 103,689.72

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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.