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Finding the Fourth Proportional to 182,915.41, 274,366.52 and 47,978.40

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Solution

The fourth proportional to 182,915.41, 274,366.52 and 47,978.40 is: 71,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,915.41 : 274,366.52 = 47,978.40 : x
  2. Step 2: Convert to fraction form
    182,915.41/274,366.52 = 47,978.40/x
  3. Step 3: Cross multiply
    182,915.41x = 274,366.52 × 47,978.40
  4. Step 4: Simplify right side
    182,915.41x = 13,163,667,881.95
  5. Step 5: Solve for x
    x = 13,163,667,881.95/182,915.41
  6. Step 6: Final answer
    x = 71,965.88

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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.