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Finding the Fourth Proportional to 135,645.98, 187,182.32 and 75,214.38

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Solution

The fourth proportional to 135,645.98, 187,182.32 and 75,214.38 is: 103,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,645.98 : 187,182.32 = 75,214.38 : x
  2. Step 2: Convert to fraction form
    135,645.98/187,182.32 = 75,214.38/x
  3. Step 3: Cross multiply
    135,645.98x = 187,182.32 × 75,214.38
  4. Step 4: Simplify right side
    135,645.98x = 14,078,802,145.76
  5. Step 5: Solve for x
    x = 14,078,802,145.76/135,645.98
  6. Step 6: Final answer
    x = 103,790.78

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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.