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Finding the Fourth Proportional to 192,726.88, 265,974.24 and 107,843.20

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Solution

The fourth proportional to 192,726.88, 265,974.24 and 107,843.20 is: 148,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,726.88 : 265,974.24 = 107,843.20 : x
  2. Step 2: Convert to fraction form
    192,726.88/265,974.24 = 107,843.20/x
  3. Step 3: Cross multiply
    192,726.88x = 265,974.24 × 107,843.20
  4. Step 4: Simplify right side
    192,726.88x = 28,683,513,159.17
  5. Step 5: Solve for x
    x = 28,683,513,159.17/192,726.88
  6. Step 6: Final answer
    x = 148,829.85

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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.