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Finding the Fourth Proportional to 135,930, 187,581.06 and 75,498.36

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Solution

The fourth proportional to 135,930, 187,581.06 and 75,498.36 is: 104,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,930 : 187,581.06 = 75,498.36 : x
  2. Step 2: Convert to fraction form
    135,930/187,581.06 = 75,498.36/x
  3. Step 3: Cross multiply
    135,930x = 187,581.06 × 75,498.36
  4. Step 4: Simplify right side
    135,930x = 14,162,062,397.06
  5. Step 5: Solve for x
    x = 14,162,062,397.06/135,930
  6. Step 6: Final answer
    x = 104,186.44

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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.