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Finding the Fourth Proportional to 275,617.10, 413,032.05 and 157,037.90

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Solution

The fourth proportional to 275,617.10, 413,032.05 and 157,037.90 is: 235,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,617.10 : 413,032.05 = 157,037.90 : x
  2. Step 2: Convert to fraction form
    275,617.10/413,032.05 = 157,037.90/x
  3. Step 3: Cross multiply
    275,617.10x = 413,032.05 × 157,037.90
  4. Step 4: Simplify right side
    275,617.10x = 64,861,685,764.70
  5. Step 5: Solve for x
    x = 64,861,685,764.70/275,617.10
  6. Step 6: Final answer
    x = 235,332.59

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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.