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Finding the Fourth Proportional to 135,845.61, 187,471.77 and 75,417.18

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Solution

The fourth proportional to 135,845.61, 187,471.77 and 75,417.18 is: 104,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,845.61 : 187,471.77 = 75,417.18 : x
  2. Step 2: Convert to fraction form
    135,845.61/187,471.77 = 75,417.18/x
  3. Step 3: Cross multiply
    135,845.61x = 187,471.77 × 75,417.18
  4. Step 4: Simplify right side
    135,845.61x = 14,138,591,237.18
  5. Step 5: Solve for x
    x = 14,138,591,237.18/135,845.61
  6. Step 6: Final answer
    x = 104,078.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.