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Finding the Fourth Proportional to 225,262.80, 337,969.32 and 75,518

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Solution

The fourth proportional to 225,262.80, 337,969.32 and 75,518 is: 113,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,262.80 : 337,969.32 = 75,518 : x
  2. Step 2: Convert to fraction form
    225,262.80/337,969.32 = 75,518/x
  3. Step 3: Cross multiply
    225,262.80x = 337,969.32 × 75,518
  4. Step 4: Simplify right side
    225,262.80x = 25,522,767,107.76
  5. Step 5: Solve for x
    x = 25,522,767,107.76/225,262.80
  6. Step 6: Final answer
    x = 113,302.18

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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.