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Finding the Fourth Proportional to 263,513.84, 363,649.22 and 142,655.12

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Solution

The fourth proportional to 263,513.84, 363,649.22 and 142,655.12 is: 196,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,513.84 : 363,649.22 = 142,655.12 : x
  2. Step 2: Convert to fraction form
    263,513.84/363,649.22 = 142,655.12/x
  3. Step 3: Cross multiply
    263,513.84x = 363,649.22 × 142,655.12
  4. Step 4: Simplify right side
    263,513.84x = 51,876,422,898.49
  5. Step 5: Solve for x
    x = 51,876,422,898.49/263,513.84
  6. Step 6: Final answer
    x = 196,864.13

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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.