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Finding the Fourth Proportional to 267,909.14, 369,713.31 and 147,052.48

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Solution

The fourth proportional to 267,909.14, 369,713.31 and 147,052.48 is: 202,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,909.14 : 369,713.31 = 147,052.48 : x
  2. Step 2: Convert to fraction form
    267,909.14/369,713.31 = 147,052.48/x
  3. Step 3: Cross multiply
    267,909.14x = 369,713.31 × 147,052.48
  4. Step 4: Simplify right side
    267,909.14x = 54,367,259,124.51
  5. Step 5: Solve for x
    x = 54,367,259,124.51/267,909.14
  6. Step 6: Final answer
    x = 202,931.71

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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.