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Finding the Fourth Proportional to 240,900.80, 361,351.20 and 178,692.80

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Solution

The fourth proportional to 240,900.80, 361,351.20 and 178,692.80 is: 268,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,900.80 : 361,351.20 = 178,692.80 : x
  2. Step 2: Convert to fraction form
    240,900.80/361,351.20 = 178,692.80/x
  3. Step 3: Cross multiply
    240,900.80x = 361,351.20 × 178,692.80
  4. Step 4: Simplify right side
    240,900.80x = 64,570,857,711.36
  5. Step 5: Solve for x
    x = 64,570,857,711.36/240,900.80
  6. Step 6: Final answer
    x = 268,039.20

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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.