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Finding the Fourth Proportional to 253,401.76, 349,542.38 and 167,360.90

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Solution

The fourth proportional to 253,401.76, 349,542.38 and 167,360.90 is: 230,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,401.76 : 349,542.38 = 167,360.90 : x
  2. Step 2: Convert to fraction form
    253,401.76/349,542.38 = 167,360.90/x
  3. Step 3: Cross multiply
    253,401.76x = 349,542.38 × 167,360.90
  4. Step 4: Simplify right side
    253,401.76x = 58,499,727,304.94
  5. Step 5: Solve for x
    x = 58,499,727,304.94/253,401.76
  6. Step 6: Final answer
    x = 230,857.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.