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Finding the Fourth Proportional to 381,242.52, 571,697.64 and 128,475.90

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Solution

The fourth proportional to 381,242.52, 571,697.64 and 128,475.90 is: 192,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,242.52 : 571,697.64 = 128,475.90 : x
  2. Step 2: Convert to fraction form
    381,242.52/571,697.64 = 128,475.90/x
  3. Step 3: Cross multiply
    381,242.52x = 571,697.64 × 128,475.90
  4. Step 4: Simplify right side
    381,242.52x = 73,449,368,826.88
  5. Step 5: Solve for x
    x = 73,449,368,826.88/381,242.52
  6. Step 6: Final answer
    x = 192,657.86

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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.