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Finding the Fourth Proportional to 192,494.88, 288,758.52 and 70,948.44

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Solution

The fourth proportional to 192,494.88, 288,758.52 and 70,948.44 is: 106,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,494.88 : 288,758.52 = 70,948.44 : x
  2. Step 2: Convert to fraction form
    192,494.88/288,758.52 = 70,948.44/x
  3. Step 3: Cross multiply
    192,494.88x = 288,758.52 × 70,948.44
  4. Step 4: Simplify right side
    192,494.88x = 20,486,966,530.71
  5. Step 5: Solve for x
    x = 20,486,966,530.71/192,494.88
  6. Step 6: Final answer
    x = 106,428.63

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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.