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Finding the Fourth Proportional to 159,219.92, 238,855.80 and 48,386

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Solution

The fourth proportional to 159,219.92, 238,855.80 and 48,386 is: 72,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,219.92 : 238,855.80 = 48,386 : x
  2. Step 2: Convert to fraction form
    159,219.92/238,855.80 = 48,386/x
  3. Step 3: Cross multiply
    159,219.92x = 238,855.80 × 48,386
  4. Step 4: Simplify right side
    159,219.92x = 11,557,276,738.80
  5. Step 5: Solve for x
    x = 11,557,276,738.80/159,219.92
  6. Step 6: Final answer
    x = 72,586.88

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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.