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Finding the Fourth Proportional to 224,647.34, 337,043.92 and 66,877.16

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Solution

The fourth proportional to 224,647.34, 337,043.92 and 66,877.16 is: 100,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,647.34 : 337,043.92 = 66,877.16 : x
  2. Step 2: Convert to fraction form
    224,647.34/337,043.92 = 66,877.16/x
  3. Step 3: Cross multiply
    224,647.34x = 337,043.92 × 66,877.16
  4. Step 4: Simplify right side
    224,647.34x = 22,540,540,164.87
  5. Step 5: Solve for x
    x = 22,540,540,164.87/224,647.34
  6. Step 6: Final answer
    x = 100,337.45

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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.