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Finding the Fourth Proportional to 144,709.80, 216,906.30 and 51,167.40

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Solution

The fourth proportional to 144,709.80, 216,906.30 and 51,167.40 is: 76,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,709.80 : 216,906.30 = 51,167.40 : x
  2. Step 2: Convert to fraction form
    144,709.80/216,906.30 = 51,167.40/x
  3. Step 3: Cross multiply
    144,709.80x = 216,906.30 × 51,167.40
  4. Step 4: Simplify right side
    144,709.80x = 11,098,531,414.62
  5. Step 5: Solve for x
    x = 11,098,531,414.62/144,709.80
  6. Step 6: Final answer
    x = 76,695.09

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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.