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Finding the Fourth Proportional to 104,490.26, 144,199.42 and 61,472.78

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Solution

The fourth proportional to 104,490.26, 144,199.42 and 61,472.78 is: 84,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,490.26 : 144,199.42 = 61,472.78 : x
  2. Step 2: Convert to fraction form
    104,490.26/144,199.42 = 61,472.78/x
  3. Step 3: Cross multiply
    104,490.26x = 144,199.42 × 61,472.78
  4. Step 4: Simplify right side
    104,490.26x = 8,864,339,221.79
  5. Step 5: Solve for x
    x = 8,864,339,221.79/104,490.26
  6. Step 6: Final answer
    x = 84,834.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.