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Finding the Fourth Proportional to 182,729.25, 252,235.08 and 137,538

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Solution

The fourth proportional to 182,729.25, 252,235.08 and 137,538 is: 189,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,729.25 : 252,235.08 = 137,538 : x
  2. Step 2: Convert to fraction form
    182,729.25/252,235.08 = 137,538/x
  3. Step 3: Cross multiply
    182,729.25x = 252,235.08 × 137,538
  4. Step 4: Simplify right side
    182,729.25x = 34,691,908,433.04
  5. Step 5: Solve for x
    x = 34,691,908,433.04/182,729.25
  6. Step 6: Final answer
    x = 189,854.16

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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.