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Finding the Fourth Proportional to 240,722.64, 361,159.53 and 144,770.28

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Solution

The fourth proportional to 240,722.64, 361,159.53 and 144,770.28 is: 217,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,722.64 : 361,159.53 = 144,770.28 : x
  2. Step 2: Convert to fraction form
    240,722.64/361,159.53 = 144,770.28/x
  3. Step 3: Cross multiply
    240,722.64x = 361,159.53 × 144,770.28
  4. Step 4: Simplify right side
    240,722.64x = 52,285,166,282.77
  5. Step 5: Solve for x
    x = 52,285,166,282.77/240,722.64
  6. Step 6: Final answer
    x = 217,200.87

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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.