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Finding the Fourth Proportional to 135,154.38, 186,510.09 and 74,727.57

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Solution

The fourth proportional to 135,154.38, 186,510.09 and 74,727.57 is: 103,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,154.38 : 186,510.09 = 74,727.57 : x
  2. Step 2: Convert to fraction form
    135,154.38/186,510.09 = 74,727.57/x
  3. Step 3: Cross multiply
    135,154.38x = 186,510.09 × 74,727.57
  4. Step 4: Simplify right side
    135,154.38x = 13,937,445,806.18
  5. Step 5: Solve for x
    x = 13,937,445,806.18/135,154.38
  6. Step 6: Final answer
    x = 103,122.41

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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.