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Finding the Fourth Proportional to 268,869.20, 403,595.40 and 150,771.20

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Solution

The fourth proportional to 268,869.20, 403,595.40 and 150,771.20 is: 226,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,869.20 : 403,595.40 = 150,771.20 : x
  2. Step 2: Convert to fraction form
    268,869.20/403,595.40 = 150,771.20/x
  3. Step 3: Cross multiply
    268,869.20x = 403,595.40 × 150,771.20
  4. Step 4: Simplify right side
    268,869.20x = 60,850,562,772.48
  5. Step 5: Solve for x
    x = 60,850,562,772.48/268,869.20
  6. Step 6: Final answer
    x = 226,320.32

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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.