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Finding the Fourth Proportional to 272,926.89, 409,452.65 and 83,414.22

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Solution

The fourth proportional to 272,926.89, 409,452.65 and 83,414.22 is: 125,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,926.89 : 409,452.65 = 83,414.22 : x
  2. Step 2: Convert to fraction form
    272,926.89/409,452.65 = 83,414.22/x
  3. Step 3: Cross multiply
    272,926.89x = 409,452.65 × 83,414.22
  4. Step 4: Simplify right side
    272,926.89x = 34,154,173,009.61
  5. Step 5: Solve for x
    x = 34,154,173,009.61/272,926.89
  6. Step 6: Final answer
    x = 125,140.37

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