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Finding the Fourth Proportional to 204,989.80, 307,542.30 and 99,812.20

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Solution

The fourth proportional to 204,989.80, 307,542.30 and 99,812.20 is: 149,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,989.80 : 307,542.30 = 99,812.20 : x
  2. Step 2: Convert to fraction form
    204,989.80/307,542.30 = 99,812.20/x
  3. Step 3: Cross multiply
    204,989.80x = 307,542.30 × 99,812.20
  4. Step 4: Simplify right side
    204,989.80x = 30,696,473,556.06
  5. Step 5: Solve for x
    x = 30,696,473,556.06/204,989.80
  6. Step 6: Final answer
    x = 149,746.35

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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.