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Finding the Fourth Proportional to 110,802.90, 166,204.35 and 51,753.90

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Solution

The fourth proportional to 110,802.90, 166,204.35 and 51,753.90 is: 77,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,802.90 : 166,204.35 = 51,753.90 : x
  2. Step 2: Convert to fraction form
    110,802.90/166,204.35 = 51,753.90/x
  3. Step 3: Cross multiply
    110,802.90x = 166,204.35 × 51,753.90
  4. Step 4: Simplify right side
    110,802.90x = 8,601,723,309.47
  5. Step 5: Solve for x
    x = 8,601,723,309.47/110,802.90
  6. Step 6: Final answer
    x = 77,630.85

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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.