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Finding the Fourth Proportional to 202,127.40, 302,753.70 and 108,523.80

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Solution

The fourth proportional to 202,127.40, 302,753.70 and 108,523.80 is: 162,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,127.40 : 302,753.70 = 108,523.80 : x
  2. Step 2: Convert to fraction form
    202,127.40/302,753.70 = 108,523.80/x
  3. Step 3: Cross multiply
    202,127.40x = 302,753.70 × 108,523.80
  4. Step 4: Simplify right side
    202,127.40x = 32,855,981,988.06
  5. Step 5: Solve for x
    x = 32,855,981,988.06/202,127.40
  6. Step 6: Final answer
    x = 162,550.86

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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.