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Finding the Fourth Proportional to 110,746.70, 166,168.65 and 51,551.90

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Solution

The fourth proportional to 110,746.70, 166,168.65 and 51,551.90 is: 77,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,746.70 : 166,168.65 = 51,551.90 : x
  2. Step 2: Convert to fraction form
    110,746.70/166,168.65 = 51,551.90/x
  3. Step 3: Cross multiply
    110,746.70x = 166,168.65 × 51,551.90
  4. Step 4: Simplify right side
    110,746.70x = 8,566,309,627.94
  5. Step 5: Solve for x
    x = 8,566,309,627.94/110,746.70
  6. Step 6: Final answer
    x = 77,350.47

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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.