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Finding the Fourth Proportional to 302,957.16, 454,519.92 and 132,193.80

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Solution

The fourth proportional to 302,957.16, 454,519.92 and 132,193.80 is: 198,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,957.16 : 454,519.92 = 132,193.80 : x
  2. Step 2: Convert to fraction form
    302,957.16/454,519.92 = 132,193.80/x
  3. Step 3: Cross multiply
    302,957.16x = 454,519.92 × 132,193.80
  4. Step 4: Simplify right side
    302,957.16x = 60,084,715,400.50
  5. Step 5: Solve for x
    x = 60,084,715,400.50/302,957.16
  6. Step 6: Final answer
    x = 198,327.43

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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.