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Finding the Fourth Proportional to 144,396.90, 216,609.82 and 49,614.60

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Solution

The fourth proportional to 144,396.90, 216,609.82 and 49,614.60 is: 74,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,396.90 : 216,609.82 = 49,614.60 : x
  2. Step 2: Convert to fraction form
    144,396.90/216,609.82 = 49,614.60/x
  3. Step 3: Cross multiply
    144,396.90x = 216,609.82 × 49,614.60
  4. Step 4: Simplify right side
    144,396.90x = 10,747,009,793.95
  5. Step 5: Solve for x
    x = 10,747,009,793.95/144,396.90
  6. Step 6: Final answer
    x = 74,426.87

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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.