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Finding the Fourth Proportional to 224,781.22, 337,222.05 and 84,541.06

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Solution

The fourth proportional to 224,781.22, 337,222.05 and 84,541.06 is: 126,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,781.22 : 337,222.05 = 84,541.06 : x
  2. Step 2: Convert to fraction form
    224,781.22/337,222.05 = 84,541.06/x
  3. Step 3: Cross multiply
    224,781.22x = 337,222.05 × 84,541.06
  4. Step 4: Simplify right side
    224,781.22x = 28,509,109,562.37
  5. Step 5: Solve for x
    x = 28,509,109,562.37/224,781.22
  6. Step 6: Final answer
    x = 126,830.48

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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.