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Finding the Fourth Proportional to 153,872.91, 230,786.24 and 48,678.21

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Solution

The fourth proportional to 153,872.91, 230,786.24 and 48,678.21 is: 73,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872.91 : 230,786.24 = 48,678.21 : x
  2. Step 2: Convert to fraction form
    153,872.91/230,786.24 = 48,678.21/x
  3. Step 3: Cross multiply
    153,872.91x = 230,786.24 × 48,678.21
  4. Step 4: Simplify right side
    153,872.91x = 11,234,260,812.44
  5. Step 5: Solve for x
    x = 11,234,260,812.44/153,872.91
  6. Step 6: Final answer
    x = 73,010.00

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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.