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Finding the Fourth Proportional to 135,585.34, 187,104.80 and 75,155.46

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Solution

The fourth proportional to 135,585.34, 187,104.80 and 75,155.46 is: 103,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,585.34 : 187,104.80 = 75,155.46 : x
  2. Step 2: Convert to fraction form
    135,585.34/187,104.80 = 75,155.46/x
  3. Step 3: Cross multiply
    135,585.34x = 187,104.80 × 75,155.46
  4. Step 4: Simplify right side
    135,585.34x = 14,061,946,744.51
  5. Step 5: Solve for x
    x = 14,061,946,744.51/135,585.34
  6. Step 6: Final answer
    x = 103,712.88

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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.