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Finding the Fourth Proportional to 252,691.11, 348,713.64 and 145,282.14

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Solution

The fourth proportional to 252,691.11, 348,713.64 and 145,282.14 is: 200,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,691.11 : 348,713.64 = 145,282.14 : x
  2. Step 2: Convert to fraction form
    252,691.11/348,713.64 = 145,282.14/x
  3. Step 3: Cross multiply
    252,691.11x = 348,713.64 × 145,282.14
  4. Step 4: Simplify right side
    252,691.11x = 50,661,863,866.39
  5. Step 5: Solve for x
    x = 50,661,863,866.39/252,691.11
  6. Step 6: Final answer
    x = 200,489.30

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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.