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Finding the Fourth Proportional to 193,292.24, 289,821.87 and 86,656.91

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Solution

The fourth proportional to 193,292.24, 289,821.87 and 86,656.91 is: 129,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,292.24 : 289,821.87 = 86,656.91 : x
  2. Step 2: Convert to fraction form
    193,292.24/289,821.87 = 86,656.91/x
  3. Step 3: Cross multiply
    193,292.24x = 289,821.87 × 86,656.91
  4. Step 4: Simplify right side
    193,292.24x = 25,115,068,429.18
  5. Step 5: Solve for x
    x = 25,115,068,429.18/193,292.24
  6. Step 6: Final answer
    x = 129,933.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.