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Finding the Fourth Proportional to 137,529.80, 206,174.70 and 53,347.40

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Solution

The fourth proportional to 137,529.80, 206,174.70 and 53,347.40 is: 79,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,529.80 : 206,174.70 = 53,347.40 : x
  2. Step 2: Convert to fraction form
    137,529.80/206,174.70 = 53,347.40/x
  3. Step 3: Cross multiply
    137,529.80x = 206,174.70 × 53,347.40
  4. Step 4: Simplify right side
    137,529.80x = 10,998,884,190.78
  5. Step 5: Solve for x
    x = 10,998,884,190.78/137,529.80
  6. Step 6: Final answer
    x = 79,974.55

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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.