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Finding the Fourth Proportional to 263,513.92, 363,648.76 and 142,655.16

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Solution

The fourth proportional to 263,513.92, 363,648.76 and 142,655.16 is: 196,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,513.92 : 363,648.76 = 142,655.16 : x
  2. Step 2: Convert to fraction form
    263,513.92/363,648.76 = 142,655.16/x
  3. Step 3: Cross multiply
    263,513.92x = 363,648.76 × 142,655.16
  4. Step 4: Simplify right side
    263,513.92x = 51,876,372,041.60
  5. Step 5: Solve for x
    x = 51,876,372,041.60/263,513.92
  6. Step 6: Final answer
    x = 196,863.88

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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.