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Finding the Fourth Proportional to 202,849.60, 304,274.40 and 132,347.20

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Solution

The fourth proportional to 202,849.60, 304,274.40 and 132,347.20 is: 198,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,849.60 : 304,274.40 = 132,347.20 : x
  2. Step 2: Convert to fraction form
    202,849.60/304,274.40 = 132,347.20/x
  3. Step 3: Cross multiply
    202,849.60x = 304,274.40 × 132,347.20
  4. Step 4: Simplify right side
    202,849.60x = 40,269,864,871.68
  5. Step 5: Solve for x
    x = 40,269,864,871.68/202,849.60
  6. Step 6: Final answer
    x = 198,520.80

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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.