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Finding the Fourth Proportional to 202,862.80, 304,294.20 and 84,494.80

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Solution

The fourth proportional to 202,862.80, 304,294.20 and 84,494.80 is: 126,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,862.80 : 304,294.20 = 84,494.80 : x
  2. Step 2: Convert to fraction form
    202,862.80/304,294.20 = 84,494.80/x
  3. Step 3: Cross multiply
    202,862.80x = 304,294.20 × 84,494.80
  4. Step 4: Simplify right side
    202,862.80x = 25,711,277,570.16
  5. Step 5: Solve for x
    x = 25,711,277,570.16/202,862.80
  6. Step 6: Final answer
    x = 126,742.20

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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.