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Finding the Fourth Proportional to 135,800.76, 187,402.22 and 75,367.90

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Solution

The fourth proportional to 135,800.76, 187,402.22 and 75,367.90 is: 104,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,800.76 : 187,402.22 = 75,367.90 : x
  2. Step 2: Convert to fraction form
    135,800.76/187,402.22 = 75,367.90/x
  3. Step 3: Cross multiply
    135,800.76x = 187,402.22 × 75,367.90
  4. Step 4: Simplify right side
    135,800.76x = 14,124,111,776.74
  5. Step 5: Solve for x
    x = 14,124,111,776.74/135,800.76
  6. Step 6: Final answer
    x = 104,006.13

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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.