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Finding the Fourth Proportional to 144,747.68, 216,800.72 and 111,220.96

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Solution

The fourth proportional to 144,747.68, 216,800.72 and 111,220.96 is: 166,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,747.68 : 216,800.72 = 111,220.96 : x
  2. Step 2: Convert to fraction form
    144,747.68/216,800.72 = 111,220.96/x
  3. Step 3: Cross multiply
    144,747.68x = 216,800.72 × 111,220.96
  4. Step 4: Simplify right side
    144,747.68x = 24,112,784,207.09
  5. Step 5: Solve for x
    x = 24,112,784,207.09/144,747.68
  6. Step 6: Final answer
    x = 166,584.94

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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.