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Finding the Fourth Proportional to 268,976.80, 403,465.20 and 178,775.20

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Solution

The fourth proportional to 268,976.80, 403,465.20 and 178,775.20 is: 268,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,976.80 : 403,465.20 = 178,775.20 : x
  2. Step 2: Convert to fraction form
    268,976.80/403,465.20 = 178,775.20/x
  3. Step 3: Cross multiply
    268,976.80x = 403,465.20 × 178,775.20
  4. Step 4: Simplify right side
    268,976.80x = 72,129,571,823.04
  5. Step 5: Solve for x
    x = 72,129,571,823.04/268,976.80
  6. Step 6: Final answer
    x = 268,162.80

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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.