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Finding the Fourth Proportional to 141,649.74, 212,406.84 and 82,502.28

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Solution

The fourth proportional to 141,649.74, 212,406.84 and 82,502.28 is: 123,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,649.74 : 212,406.84 = 82,502.28 : x
  2. Step 2: Convert to fraction form
    141,649.74/212,406.84 = 82,502.28/x
  3. Step 3: Cross multiply
    141,649.74x = 212,406.84 × 82,502.28
  4. Step 4: Simplify right side
    141,649.74x = 17,524,048,587.60
  5. Step 5: Solve for x
    x = 17,524,048,587.60/141,649.74
  6. Step 6: Final answer
    x = 123,713.95

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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.