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Finding the Fourth Proportional to 224,830.92, 337,246.32 and 67,170

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Solution

The fourth proportional to 224,830.92, 337,246.32 and 67,170 is: 100,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,830.92 : 337,246.32 = 67,170 : x
  2. Step 2: Convert to fraction form
    224,830.92/337,246.32 = 67,170/x
  3. Step 3: Cross multiply
    224,830.92x = 337,246.32 × 67,170
  4. Step 4: Simplify right side
    224,830.92x = 22,652,835,314.40
  5. Step 5: Solve for x
    x = 22,652,835,314.40/224,830.92
  6. Step 6: Final answer
    x = 100,754.98

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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.