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Finding the Fourth Proportional to 144,906.40, 217,424.40 and 51,479.20

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Solution

The fourth proportional to 144,906.40, 217,424.40 and 51,479.20 is: 77,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,906.40 : 217,424.40 = 51,479.20 : x
  2. Step 2: Convert to fraction form
    144,906.40/217,424.40 = 51,479.20/x
  3. Step 3: Cross multiply
    144,906.40x = 217,424.40 × 51,479.20
  4. Step 4: Simplify right side
    144,906.40x = 11,192,834,172.48
  5. Step 5: Solve for x
    x = 11,192,834,172.48/144,906.40
  6. Step 6: Final answer
    x = 77,241.82

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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.