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Finding the Fourth Proportional to 206,744.60, 310,142.82 and 101,474.84

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Solution

The fourth proportional to 206,744.60, 310,142.82 and 101,474.84 is: 152,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,744.60 : 310,142.82 = 101,474.84 : x
  2. Step 2: Convert to fraction form
    206,744.60/310,142.82 = 101,474.84/x
  3. Step 3: Cross multiply
    206,744.60x = 310,142.82 × 101,474.84
  4. Step 4: Simplify right side
    206,744.60x = 31,471,693,036.65
  5. Step 5: Solve for x
    x = 31,471,693,036.65/206,744.60
  6. Step 6: Final answer
    x = 152,224.98

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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.