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Finding the Fourth Proportional to 451,761.65, 677,638.81 and 114,803.27

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Solution

The fourth proportional to 451,761.65, 677,638.81 and 114,803.27 is: 172,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,761.65 : 677,638.81 = 114,803.27 : x
  2. Step 2: Convert to fraction form
    451,761.65/677,638.81 = 114,803.27/x
  3. Step 3: Cross multiply
    451,761.65x = 677,638.81 × 114,803.27
  4. Step 4: Simplify right side
    451,761.65x = 77,795,147,878.71
  5. Step 5: Solve for x
    x = 77,795,147,878.71/451,761.65
  6. Step 6: Final answer
    x = 172,203.97

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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.