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Finding the Fourth Proportional to 107,238.40, 160,876.80 and 44,915.20

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Solution

The fourth proportional to 107,238.40, 160,876.80 and 44,915.20 is: 67,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,238.40 : 160,876.80 = 44,915.20 : x
  2. Step 2: Convert to fraction form
    107,238.40/160,876.80 = 44,915.20/x
  3. Step 3: Cross multiply
    107,238.40x = 160,876.80 × 44,915.20
  4. Step 4: Simplify right side
    107,238.40x = 7,225,813,647.36
  5. Step 5: Solve for x
    x = 7,225,813,647.36/107,238.40
  6. Step 6: Final answer
    x = 67,380.84

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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.