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Finding the Fourth Proportional to 175,138.46, 262,744.56 and 56,800.55

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Solution

The fourth proportional to 175,138.46, 262,744.56 and 56,800.55 is: 85,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,138.46 : 262,744.56 = 56,800.55 : x
  2. Step 2: Convert to fraction form
    175,138.46/262,744.56 = 56,800.55/x
  3. Step 3: Cross multiply
    175,138.46x = 262,744.56 × 56,800.55
  4. Step 4: Simplify right side
    175,138.46x = 14,924,035,517.51
  5. Step 5: Solve for x
    x = 14,924,035,517.51/175,138.46
  6. Step 6: Final answer
    x = 85,212.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.