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Finding the Fourth Proportional to 92,575.20, 138,862.80 and 86,743.20

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Solution

The fourth proportional to 92,575.20, 138,862.80 and 86,743.20 is: 130,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,575.20 : 138,862.80 = 86,743.20 : x
  2. Step 2: Convert to fraction form
    92,575.20/138,862.80 = 86,743.20/x
  3. Step 3: Cross multiply
    92,575.20x = 138,862.80 × 86,743.20
  4. Step 4: Simplify right side
    92,575.20x = 12,045,403,632.96
  5. Step 5: Solve for x
    x = 12,045,403,632.96/92,575.20
  6. Step 6: Final answer
    x = 130,114.80

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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.