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Finding the Fourth Proportional to 153,964.20, 230,978.70 and 48,793.80

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Solution

The fourth proportional to 153,964.20, 230,978.70 and 48,793.80 is: 73,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,964.20 : 230,978.70 = 48,793.80 : x
  2. Step 2: Convert to fraction form
    153,964.20/230,978.70 = 48,793.80/x
  3. Step 3: Cross multiply
    153,964.20x = 230,978.70 × 48,793.80
  4. Step 4: Simplify right side
    153,964.20x = 11,270,328,492.06
  5. Step 5: Solve for x
    x = 11,270,328,492.06/153,964.20
  6. Step 6: Final answer
    x = 73,200.97

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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.