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Finding the Fourth Proportional to 119,268.22, 164,591.41 and 64,820.38

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Solution

The fourth proportional to 119,268.22, 164,591.41 and 64,820.38 is: 89,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,268.22 : 164,591.41 = 64,820.38 : x
  2. Step 2: Convert to fraction form
    119,268.22/164,591.41 = 64,820.38/x
  3. Step 3: Cross multiply
    119,268.22x = 164,591.41 × 64,820.38
  4. Step 4: Simplify right side
    119,268.22x = 10,668,878,380.03
  5. Step 5: Solve for x
    x = 10,668,878,380.03/119,268.22
  6. Step 6: Final answer
    x = 89,452.82

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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.