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Finding the Fourth Proportional to 135,614.96, 187,082.16 and 117,684.80

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Solution

The fourth proportional to 135,614.96, 187,082.16 and 117,684.80 is: 162,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,614.96 : 187,082.16 = 117,684.80 : x
  2. Step 2: Convert to fraction form
    135,614.96/187,082.16 = 117,684.80/x
  3. Step 3: Cross multiply
    135,614.96x = 187,082.16 × 117,684.80
  4. Step 4: Simplify right side
    135,614.96x = 22,016,726,583.17
  5. Step 5: Solve for x
    x = 22,016,726,583.17/135,614.96
  6. Step 6: Final answer
    x = 162,347.33

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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.