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Finding the Fourth Proportional to 175,138.70, 262,744.95 and 56,800.82

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Solution

The fourth proportional to 175,138.70, 262,744.95 and 56,800.82 is: 85,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,138.70 : 262,744.95 = 56,800.82 : x
  2. Step 2: Convert to fraction form
    175,138.70/262,744.95 = 56,800.82/x
  3. Step 3: Cross multiply
    175,138.70x = 262,744.95 × 56,800.82
  4. Step 4: Simplify right side
    175,138.70x = 14,924,127,297.13
  5. Step 5: Solve for x
    x = 14,924,127,297.13/175,138.70
  6. Step 6: Final answer
    x = 85,213.19

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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.