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Finding the Fourth Proportional to 153,896.20, 230,865.90 and 48,704.20

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Solution

The fourth proportional to 153,896.20, 230,865.90 and 48,704.20 is: 73,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,896.20 : 230,865.90 = 48,704.20 : x
  2. Step 2: Convert to fraction form
    153,896.20/230,865.90 = 48,704.20/x
  3. Step 3: Cross multiply
    153,896.20x = 230,865.90 × 48,704.20
  4. Step 4: Simplify right side
    153,896.20x = 11,244,138,966.78
  5. Step 5: Solve for x
    x = 11,244,138,966.78/153,896.20
  6. Step 6: Final answer
    x = 73,063.14

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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.