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Finding the Fourth Proportional to 451,757.21, 677,632.16 and 114,798.83

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Solution

The fourth proportional to 451,757.21, 677,632.16 and 114,798.83 is: 172,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,757.21 : 677,632.16 = 114,798.83 : x
  2. Step 2: Convert to fraction form
    451,757.21/677,632.16 = 114,798.83/x
  3. Step 3: Cross multiply
    451,757.21x = 677,632.16 × 114,798.83
  4. Step 4: Simplify right side
    451,757.21x = 77,791,375,176.22
  5. Step 5: Solve for x
    x = 77,791,375,176.22/451,757.21
  6. Step 6: Final answer
    x = 172,197.31

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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.