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Finding the Fourth Proportional to 299,830.53, 413,726.15 and 192,545.88

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Solution

The fourth proportional to 299,830.53, 413,726.15 and 192,545.88 is: 265,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,830.53 : 413,726.15 = 192,545.88 : x
  2. Step 2: Convert to fraction form
    299,830.53/413,726.15 = 192,545.88/x
  3. Step 3: Cross multiply
    299,830.53x = 413,726.15 × 192,545.88
  4. Step 4: Simplify right side
    299,830.53x = 79,661,264,668.03
  5. Step 5: Solve for x
    x = 79,661,264,668.03/299,830.53
  6. Step 6: Final answer
    x = 265,687.64

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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.