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Finding the Fourth Proportional to 224,883.96, 337,374.54 and 84,642.18

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Solution

The fourth proportional to 224,883.96, 337,374.54 and 84,642.18 is: 126,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,883.96 : 337,374.54 = 84,642.18 : x
  2. Step 2: Convert to fraction form
    224,883.96/337,374.54 = 84,642.18/x
  3. Step 3: Cross multiply
    224,883.96x = 337,374.54 × 84,642.18
  4. Step 4: Simplify right side
    224,883.96x = 28,556,116,542.10
  5. Step 5: Solve for x
    x = 28,556,116,542.10/224,883.96
  6. Step 6: Final answer
    x = 126,981.56

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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.