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Finding the Fourth Proportional to 135,534.90, 187,044.12 and 75,105.39

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Solution

The fourth proportional to 135,534.90, 187,044.12 and 75,105.39 is: 103,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,534.90 : 187,044.12 = 75,105.39 : x
  2. Step 2: Convert to fraction form
    135,534.90/187,044.12 = 75,105.39/x
  3. Step 3: Cross multiply
    135,534.90x = 187,044.12 × 75,105.39
  4. Step 4: Simplify right side
    135,534.90x = 14,048,021,579.81
  5. Step 5: Solve for x
    x = 14,048,021,579.81/135,534.90
  6. Step 6: Final answer
    x = 103,648.74

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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.