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Finding the Fourth Proportional to 268,972.80, 403,459.20 and 178,771.20

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Solution

The fourth proportional to 268,972.80, 403,459.20 and 178,771.20 is: 268,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,972.80 : 403,459.20 = 178,771.20 : x
  2. Step 2: Convert to fraction form
    268,972.80/403,459.20 = 178,771.20/x
  3. Step 3: Cross multiply
    268,972.80x = 403,459.20 × 178,771.20
  4. Step 4: Simplify right side
    268,972.80x = 72,126,885,335.04
  5. Step 5: Solve for x
    x = 72,126,885,335.04/268,972.80
  6. Step 6: Final answer
    x = 268,156.80

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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.