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Finding the Fourth Proportional to 195,042.80, 292,402.20 and 82,809.20

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Solution

The fourth proportional to 195,042.80, 292,402.20 and 82,809.20 is: 124,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,042.80 : 292,402.20 = 82,809.20 : x
  2. Step 2: Convert to fraction form
    195,042.80/292,402.20 = 82,809.20/x
  3. Step 3: Cross multiply
    195,042.80x = 292,402.20 × 82,809.20
  4. Step 4: Simplify right side
    195,042.80x = 24,213,592,260.24
  5. Step 5: Solve for x
    x = 24,213,592,260.24/195,042.80
  6. Step 6: Final answer
    x = 124,145.02

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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.