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Finding the Fourth Proportional to 292,531.90, 438,765.45 and 82,191.10

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Solution

The fourth proportional to 292,531.90, 438,765.45 and 82,191.10 is: 123,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,531.90 : 438,765.45 = 82,191.10 : x
  2. Step 2: Convert to fraction form
    292,531.90/438,765.45 = 82,191.10/x
  3. Step 3: Cross multiply
    292,531.90x = 438,765.45 × 82,191.10
  4. Step 4: Simplify right side
    292,531.90x = 36,062,614,977.50
  5. Step 5: Solve for x
    x = 36,062,614,977.50/292,531.90
  6. Step 6: Final answer
    x = 123,277.55

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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.