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Finding the Fourth Proportional to 110,859.76, 166,173.54 and 51,646.60

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Solution

The fourth proportional to 110,859.76, 166,173.54 and 51,646.60 is: 77,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,859.76 : 166,173.54 = 51,646.60 : x
  2. Step 2: Convert to fraction form
    110,859.76/166,173.54 = 51,646.60/x
  3. Step 3: Cross multiply
    110,859.76x = 166,173.54 × 51,646.60
  4. Step 4: Simplify right side
    110,859.76x = 8,582,298,350.96
  5. Step 5: Solve for x
    x = 8,582,298,350.96/110,859.76
  6. Step 6: Final answer
    x = 77,415.81

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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.