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Finding the Fourth Proportional to 206,929.20, 310,320.90 and 73,813.80

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Solution

The fourth proportional to 206,929.20, 310,320.90 and 73,813.80 is: 110,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,929.20 : 310,320.90 = 73,813.80 : x
  2. Step 2: Convert to fraction form
    206,929.20/310,320.90 = 73,813.80/x
  3. Step 3: Cross multiply
    206,929.20x = 310,320.90 × 73,813.80
  4. Step 4: Simplify right side
    206,929.20x = 22,905,964,848.42
  5. Step 5: Solve for x
    x = 22,905,964,848.42/206,929.20
  6. Step 6: Final answer
    x = 110,694.70

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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.