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Finding the Fourth Proportional to 144,923.20, 217,423.20 and 51,419.20

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Solution

The fourth proportional to 144,923.20, 217,423.20 and 51,419.20 is: 77,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,923.20 : 217,423.20 = 51,419.20 : x
  2. Step 2: Convert to fraction form
    144,923.20/217,423.20 = 51,419.20/x
  3. Step 3: Cross multiply
    144,923.20x = 217,423.20 × 51,419.20
  4. Step 4: Simplify right side
    144,923.20x = 11,179,727,005.44
  5. Step 5: Solve for x
    x = 11,179,727,005.44/144,923.20
  6. Step 6: Final answer
    x = 77,142.42

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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.