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Finding the Fourth Proportional to 150,715.64, 208,016.28 and 99,729.38

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Solution

The fourth proportional to 150,715.64, 208,016.28 and 99,729.38 is: 137,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,715.64 : 208,016.28 = 99,729.38 : x
  2. Step 2: Convert to fraction form
    150,715.64/208,016.28 = 99,729.38/x
  3. Step 3: Cross multiply
    150,715.64x = 208,016.28 × 99,729.38
  4. Step 4: Simplify right side
    150,715.64x = 20,745,334,634.31
  5. Step 5: Solve for x
    x = 20,745,334,634.31/150,715.64
  6. Step 6: Final answer
    x = 137,645.53

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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.