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Finding the Fourth Proportional to 224,792.87, 310,204.98 and 122,821.86

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Solution

The fourth proportional to 224,792.87, 310,204.98 and 122,821.86 is: 169,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,792.87 : 310,204.98 = 122,821.86 : x
  2. Step 2: Convert to fraction form
    224,792.87/310,204.98 = 122,821.86/x
  3. Step 3: Cross multiply
    224,792.87x = 310,204.98 × 122,821.86
  4. Step 4: Simplify right side
    224,792.87x = 38,099,952,624.86
  5. Step 5: Solve for x
    x = 38,099,952,624.86/224,792.87
  6. Step 6: Final answer
    x = 169,489.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.