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Finding the Fourth Proportional to 150,713.64, 208,013.52 and 99,727.38

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Solution

The fourth proportional to 150,713.64, 208,013.52 and 99,727.38 is: 137,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,713.64 : 208,013.52 = 99,727.38 : x
  2. Step 2: Convert to fraction form
    150,713.64/208,013.52 = 99,727.38/x
  3. Step 3: Cross multiply
    150,713.64x = 208,013.52 × 99,727.38
  4. Step 4: Simplify right side
    150,713.64x = 20,744,643,354.18
  5. Step 5: Solve for x
    x = 20,744,643,354.18/150,713.64
  6. Step 6: Final answer
    x = 137,642.77

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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.