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Finding the Fourth Proportional to 144,265.62, 199,094.13 and 86,922.95

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Solution

The fourth proportional to 144,265.62, 199,094.13 and 86,922.95 is: 119,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,265.62 : 199,094.13 = 86,922.95 : x
  2. Step 2: Convert to fraction form
    144,265.62/199,094.13 = 86,922.95/x
  3. Step 3: Cross multiply
    144,265.62x = 199,094.13 × 86,922.95
  4. Step 4: Simplify right side
    144,265.62x = 17,305,849,107.28
  5. Step 5: Solve for x
    x = 17,305,849,107.28/144,265.62
  6. Step 6: Final answer
    x = 119,958.23

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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.