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Finding the Fourth Proportional to 240,722.14, 361,158.78 and 144,769.78

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Solution

The fourth proportional to 240,722.14, 361,158.78 and 144,769.78 is: 217,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,722.14 : 361,158.78 = 144,769.78 : x
  2. Step 2: Convert to fraction form
    240,722.14/361,158.78 = 144,769.78/x
  3. Step 3: Cross multiply
    240,722.14x = 361,158.78 × 144,769.78
  4. Step 4: Simplify right side
    240,722.14x = 52,284,877,125.67
  5. Step 5: Solve for x
    x = 52,284,877,125.67/240,722.14
  6. Step 6: Final answer
    x = 217,200.12

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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.