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Finding the Fourth Proportional to 153,846.76, 230,778.54 and 48,657.88

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Solution

The fourth proportional to 153,846.76, 230,778.54 and 48,657.88 is: 72,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846.76 : 230,778.54 = 48,657.88 : x
  2. Step 2: Convert to fraction form
    153,846.76/230,778.54 = 48,657.88/x
  3. Step 3: Cross multiply
    153,846.76x = 230,778.54 × 48,657.88
  4. Step 4: Simplify right side
    153,846.76x = 11,229,194,505.90
  5. Step 5: Solve for x
    x = 11,229,194,505.90/153,846.76
  6. Step 6: Final answer
    x = 72,989.48

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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.