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Finding the Fourth Proportional to 206,823.80, 310,235.70 and 73,854.20

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Solution

The fourth proportional to 206,823.80, 310,235.70 and 73,854.20 is: 110,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,823.80 : 310,235.70 = 73,854.20 : x
  2. Step 2: Convert to fraction form
    206,823.80/310,235.70 = 73,854.20/x
  3. Step 3: Cross multiply
    206,823.80x = 310,235.70 × 73,854.20
  4. Step 4: Simplify right side
    206,823.80x = 22,912,209,434.94
  5. Step 5: Solve for x
    x = 22,912,209,434.94/206,823.80
  6. Step 6: Final answer
    x = 110,781.30

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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.