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Finding the Fourth Proportional to 276,842.40, 414,987.12 and 136,701.60

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Solution

The fourth proportional to 276,842.40, 414,987.12 and 136,701.60 is: 204,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,842.40 : 414,987.12 = 136,701.60 : x
  2. Step 2: Convert to fraction form
    276,842.40/414,987.12 = 136,701.60/x
  3. Step 3: Cross multiply
    276,842.40x = 414,987.12 × 136,701.60
  4. Step 4: Simplify right side
    276,842.40x = 56,729,403,283.39
  5. Step 5: Solve for x
    x = 56,729,403,283.39/276,842.40
  6. Step 6: Final answer
    x = 204,915.88

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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.