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Finding the Fourth Proportional to 200,095.60, 299,635.38 and 120,083.20

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Solution

The fourth proportional to 200,095.60, 299,635.38 and 120,083.20 is: 179,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,095.60 : 299,635.38 = 120,083.20 : x
  2. Step 2: Convert to fraction form
    200,095.60/299,635.38 = 120,083.20/x
  3. Step 3: Cross multiply
    200,095.60x = 299,635.38 × 120,083.20
  4. Step 4: Simplify right side
    200,095.60x = 35,981,175,263.62
  5. Step 5: Solve for x
    x = 35,981,175,263.62/200,095.60
  6. Step 6: Final answer
    x = 179,819.92

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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.