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Finding the Fourth Proportional to 153,874.20, 230,788.20 and 48,679.50

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Solution

The fourth proportional to 153,874.20, 230,788.20 and 48,679.50 is: 73,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,874.20 : 230,788.20 = 48,679.50 : x
  2. Step 2: Convert to fraction form
    153,874.20/230,788.20 = 48,679.50/x
  3. Step 3: Cross multiply
    153,874.20x = 230,788.20 × 48,679.50
  4. Step 4: Simplify right side
    153,874.20x = 11,234,654,181.90
  5. Step 5: Solve for x
    x = 11,234,654,181.90/153,874.20
  6. Step 6: Final answer
    x = 73,011.94

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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.