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Finding the Fourth Proportional to 136,158.64, 187,895.64 and 75,729.10

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Solution

The fourth proportional to 136,158.64, 187,895.64 and 75,729.10 is: 104,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,158.64 : 187,895.64 = 75,729.10 : x
  2. Step 2: Convert to fraction form
    136,158.64/187,895.64 = 75,729.10/x
  3. Step 3: Cross multiply
    136,158.64x = 187,895.64 × 75,729.10
  4. Step 4: Simplify right side
    136,158.64x = 14,229,167,711.12
  5. Step 5: Solve for x
    x = 14,229,167,711.12/136,158.64
  6. Step 6: Final answer
    x = 104,504.33

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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.