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Finding the Fourth Proportional to 175,108, 262,700.34 and 56,791.30

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Solution

The fourth proportional to 175,108, 262,700.34 and 56,791.30 is: 85,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,108 : 262,700.34 = 56,791.30 : x
  2. Step 2: Convert to fraction form
    175,108/262,700.34 = 56,791.30/x
  3. Step 3: Cross multiply
    175,108x = 262,700.34 × 56,791.30
  4. Step 4: Simplify right side
    175,108x = 14,919,093,819.04
  5. Step 5: Solve for x
    x = 14,919,093,819.04/175,108
  6. Step 6: Final answer
    x = 85,199.38

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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.