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Finding the Fourth Proportional to 135,646.17, 187,201.31 and 75,222.60

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Solution

The fourth proportional to 135,646.17, 187,201.31 and 75,222.60 is: 103,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,646.17 : 187,201.31 = 75,222.60 : x
  2. Step 2: Convert to fraction form
    135,646.17/187,201.31 = 75,222.60/x
  3. Step 3: Cross multiply
    135,646.17x = 187,201.31 × 75,222.60
  4. Step 4: Simplify right side
    135,646.17x = 14,081,768,885.49
  5. Step 5: Solve for x
    x = 14,081,768,885.49/135,646.17
  6. Step 6: Final answer
    x = 103,812.51

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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.