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Finding the Fourth Proportional to 261,048.96, 391,748.42 and 167,620.32

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Solution

The fourth proportional to 261,048.96, 391,748.42 and 167,620.32 is: 251,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,048.96 : 391,748.42 = 167,620.32 : x
  2. Step 2: Convert to fraction form
    261,048.96/391,748.42 = 167,620.32/x
  3. Step 3: Cross multiply
    261,048.96x = 391,748.42 × 167,620.32
  4. Step 4: Simplify right side
    261,048.96x = 65,664,995,519.89
  5. Step 5: Solve for x
    x = 65,664,995,519.89/261,048.96
  6. Step 6: Final answer
    x = 251,542.84

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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.