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Finding the Fourth Proportional to 263,806.35, 364,051.48 and 142,947.57

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Solution

The fourth proportional to 263,806.35, 364,051.48 and 142,947.57 is: 197,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,806.35 : 364,051.48 = 142,947.57 : x
  2. Step 2: Convert to fraction form
    263,806.35/364,051.48 = 142,947.57/x
  3. Step 3: Cross multiply
    263,806.35x = 364,051.48 × 142,947.57
  4. Step 4: Simplify right side
    263,806.35x = 52,040,274,420.90
  5. Step 5: Solve for x
    x = 52,040,274,420.90/263,806.35
  6. Step 6: Final answer
    x = 197,266.95

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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.