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Finding the Fourth Proportional to 224,617.76, 309,961.68 and 122,647.04

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Solution

The fourth proportional to 224,617.76, 309,961.68 and 122,647.04 is: 169,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,617.76 : 309,961.68 = 122,647.04 : x
  2. Step 2: Convert to fraction form
    224,617.76/309,961.68 = 122,647.04/x
  3. Step 3: Cross multiply
    224,617.76x = 309,961.68 × 122,647.04
  4. Step 4: Simplify right side
    224,617.76x = 38,015,882,565.43
  5. Step 5: Solve for x
    x = 38,015,882,565.43/224,617.76
  6. Step 6: Final answer
    x = 169,247.00

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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.