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Finding the Fourth Proportional to 381,084.96, 571,649.88 and 128,344.32

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Solution

The fourth proportional to 381,084.96, 571,649.88 and 128,344.32 is: 192,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,084.96 : 571,649.88 = 128,344.32 : x
  2. Step 2: Convert to fraction form
    381,084.96/571,649.88 = 128,344.32/x
  3. Step 3: Cross multiply
    381,084.96x = 571,649.88 × 128,344.32
  4. Step 4: Simplify right side
    381,084.96x = 73,368,015,126.68
  5. Step 5: Solve for x
    x = 73,368,015,126.68/381,084.96
  6. Step 6: Final answer
    x = 192,524.04

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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.