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Finding the Fourth Proportional to 382,025.57, 573,037.65 and 101,542.82

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Solution

The fourth proportional to 382,025.57, 573,037.65 and 101,542.82 is: 152,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,025.57 : 573,037.65 = 101,542.82 : x
  2. Step 2: Convert to fraction form
    382,025.57/573,037.65 = 101,542.82/x
  3. Step 3: Cross multiply
    382,025.57x = 573,037.65 × 101,542.82
  4. Step 4: Simplify right side
    382,025.57x = 58,187,856,081.98
  5. Step 5: Solve for x
    x = 58,187,856,081.98/382,025.57
  6. Step 6: Final answer
    x = 152,314.04

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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.