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Finding the Fourth Proportional to 110,744.70, 166,165.65 and 51,549.90

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Solution

The fourth proportional to 110,744.70, 166,165.65 and 51,549.90 is: 77,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,744.70 : 166,165.65 = 51,549.90 : x
  2. Step 2: Convert to fraction form
    110,744.70/166,165.65 = 51,549.90/x
  3. Step 3: Cross multiply
    110,744.70x = 166,165.65 × 51,549.90
  4. Step 4: Simplify right side
    110,744.70x = 8,565,822,640.94
  5. Step 5: Solve for x
    x = 8,565,822,640.94/110,744.70
  6. Step 6: Final answer
    x = 77,347.47

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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.