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Finding the Fourth Proportional to 165,282.32, 247,926.24 and 86,550.32

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Solution

The fourth proportional to 165,282.32, 247,926.24 and 86,550.32 is: 129,826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,282.32 : 247,926.24 = 86,550.32 : x
  2. Step 2: Convert to fraction form
    165,282.32/247,926.24 = 86,550.32/x
  3. Step 3: Cross multiply
    165,282.32x = 247,926.24 × 86,550.32
  4. Step 4: Simplify right side
    165,282.32x = 21,458,095,408.40
  5. Step 5: Solve for x
    x = 21,458,095,408.40/165,282.32
  6. Step 6: Final answer
    x = 129,826.93

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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.