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Finding the Fourth Proportional to 259,512.80, 389,585.10 and 164,742.80

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Solution

The fourth proportional to 259,512.80, 389,585.10 and 164,742.80 is: 247,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,512.80 : 389,585.10 = 164,742.80 : x
  2. Step 2: Convert to fraction form
    259,512.80/389,585.10 = 164,742.80/x
  3. Step 3: Cross multiply
    259,512.80x = 389,585.10 × 164,742.80
  4. Step 4: Simplify right side
    259,512.80x = 64,181,340,212.28
  5. Step 5: Solve for x
    x = 64,181,340,212.28/259,512.80
  6. Step 6: Final answer
    x = 247,314.74

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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.