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Finding the Fourth Proportional to 122,365.66, 168,923.94 and 82,064.68

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Solution

The fourth proportional to 122,365.66, 168,923.94 and 82,064.68 is: 113,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,365.66 : 168,923.94 = 82,064.68 : x
  2. Step 2: Convert to fraction form
    122,365.66/168,923.94 = 82,064.68/x
  3. Step 3: Cross multiply
    122,365.66x = 168,923.94 × 82,064.68
  4. Step 4: Simplify right side
    122,365.66x = 13,862,689,080.44
  5. Step 5: Solve for x
    x = 13,862,689,080.44/122,365.66
  6. Step 6: Final answer
    x = 113,289.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.