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Finding the Fourth Proportional to 141,633.16, 212,581.14 and 71,561.68

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Solution

The fourth proportional to 141,633.16, 212,581.14 and 71,561.68 is: 107,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,633.16 : 212,581.14 = 71,561.68 : x
  2. Step 2: Convert to fraction form
    141,633.16/212,581.14 = 71,561.68/x
  3. Step 3: Cross multiply
    141,633.16x = 212,581.14 × 71,561.68
  4. Step 4: Simplify right side
    141,633.16x = 15,212,663,514.72
  5. Step 5: Solve for x
    x = 15,212,663,514.72/141,633.16
  6. Step 6: Final answer
    x = 107,408.91

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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.