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Finding the Fourth Proportional to 158,185.24, 218,296.50 and 89,275.28

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Solution

The fourth proportional to 158,185.24, 218,296.50 and 89,275.28 is: 123,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,185.24 : 218,296.50 = 89,275.28 : x
  2. Step 2: Convert to fraction form
    158,185.24/218,296.50 = 89,275.28/x
  3. Step 3: Cross multiply
    158,185.24x = 218,296.50 × 89,275.28
  4. Step 4: Simplify right side
    158,185.24x = 19,488,481,160.52
  5. Step 5: Solve for x
    x = 19,488,481,160.52/158,185.24
  6. Step 6: Final answer
    x = 123,200.38

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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.