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Finding the Fourth Proportional to 292,537.52, 438,823.28 and 82,191.88

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Solution

The fourth proportional to 292,537.52, 438,823.28 and 82,191.88 is: 123,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,537.52 : 438,823.28 = 82,191.88 : x
  2. Step 2: Convert to fraction form
    292,537.52/438,823.28 = 82,191.88/x
  3. Step 3: Cross multiply
    292,537.52x = 438,823.28 × 82,191.88
  4. Step 4: Simplify right side
    292,537.52x = 36,067,710,370.97
  5. Step 5: Solve for x
    x = 36,067,710,370.97/292,537.52
  6. Step 6: Final answer
    x = 123,292.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.