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Finding the Fourth Proportional to 268,086.40, 402,014.40 and 134,915.20

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Solution

The fourth proportional to 268,086.40, 402,014.40 and 134,915.20 is: 202,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,086.40 : 402,014.40 = 134,915.20 : x
  2. Step 2: Convert to fraction form
    268,086.40/402,014.40 = 134,915.20/x
  3. Step 3: Cross multiply
    268,086.40x = 402,014.40 × 134,915.20
  4. Step 4: Simplify right side
    268,086.40x = 54,237,853,178.88
  5. Step 5: Solve for x
    x = 54,237,853,178.88/268,086.40
  6. Step 6: Final answer
    x = 202,314.83

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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.