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Finding the Fourth Proportional to 240,899.52, 361,472.64 and 114,682.56

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Solution

The fourth proportional to 240,899.52, 361,472.64 and 114,682.56 is: 172,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,899.52 : 361,472.64 = 114,682.56 : x
  2. Step 2: Convert to fraction form
    240,899.52/361,472.64 = 114,682.56/x
  3. Step 3: Cross multiply
    240,899.52x = 361,472.64 × 114,682.56
  4. Step 4: Simplify right side
    240,899.52x = 41,454,607,725.16
  5. Step 5: Solve for x
    x = 41,454,607,725.16/240,899.52
  6. Step 6: Final answer
    x = 172,082.57

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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.