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Finding the Fourth Proportional to 129,224.16, 193,728.72 and 40,422.24

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Solution

The fourth proportional to 129,224.16, 193,728.72 and 40,422.24 is: 60,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,224.16 : 193,728.72 = 40,422.24 : x
  2. Step 2: Convert to fraction form
    129,224.16/193,728.72 = 40,422.24/x
  3. Step 3: Cross multiply
    129,224.16x = 193,728.72 × 40,422.24
  4. Step 4: Simplify right side
    129,224.16x = 7,830,948,814.73
  5. Step 5: Solve for x
    x = 7,830,948,814.73/129,224.16
  6. Step 6: Final answer
    x = 60,599.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.