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Finding the Fourth Proportional to 218,764.40, 328,276.20 and 159,450.80

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Solution

The fourth proportional to 218,764.40, 328,276.20 and 159,450.80 is: 239,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,764.40 : 328,276.20 = 159,450.80 : x
  2. Step 2: Convert to fraction form
    218,764.40/328,276.20 = 159,450.80/x
  3. Step 3: Cross multiply
    218,764.40x = 328,276.20 × 159,450.80
  4. Step 4: Simplify right side
    218,764.40x = 52,343,902,710.96
  5. Step 5: Solve for x
    x = 52,343,902,710.96/218,764.40
  6. Step 6: Final answer
    x = 239,270.66

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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.