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Finding the Fourth Proportional to 165,162, 247,755.39 and 46,842.87

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Solution

The fourth proportional to 165,162, 247,755.39 and 46,842.87 is: 70,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,162 : 247,755.39 = 46,842.87 : x
  2. Step 2: Convert to fraction form
    165,162/247,755.39 = 46,842.87/x
  3. Step 3: Cross multiply
    165,162x = 247,755.39 × 46,842.87
  4. Step 4: Simplify right side
    165,162x = 11,605,573,525.57
  5. Step 5: Solve for x
    x = 11,605,573,525.57/165,162
  6. Step 6: Final answer
    x = 70,267.82

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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.