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Finding the Fourth Proportional to 263,806.88, 364,053.49 and 142,947.18

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Solution

The fourth proportional to 263,806.88, 364,053.49 and 142,947.18 is: 197,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,806.88 : 364,053.49 = 142,947.18 : x
  2. Step 2: Convert to fraction form
    263,806.88/364,053.49 = 142,947.18/x
  3. Step 3: Cross multiply
    263,806.88x = 364,053.49 × 142,947.18
  4. Step 4: Simplify right side
    263,806.88x = 52,040,419,407.29
  5. Step 5: Solve for x
    x = 52,040,419,407.29/263,806.88
  6. Step 6: Final answer
    x = 197,267.11

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1.5x scale

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.