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Finding the Fourth Proportional to 202,843.20, 304,264.80 and 92,035.20

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Solution

The fourth proportional to 202,843.20, 304,264.80 and 92,035.20 is: 138,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,843.20 : 304,264.80 = 92,035.20 : x
  2. Step 2: Convert to fraction form
    202,843.20/304,264.80 = 92,035.20/x
  3. Step 3: Cross multiply
    202,843.20x = 304,264.80 × 92,035.20
  4. Step 4: Simplify right side
    202,843.20x = 28,003,071,720.96
  5. Step 5: Solve for x
    x = 28,003,071,720.96/202,843.20
  6. Step 6: Final answer
    x = 138,052.80

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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.