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Finding the Fourth Proportional to 141,633.29, 212,581.17 and 71,561.81

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Solution

The fourth proportional to 141,633.29, 212,581.17 and 71,561.81 is: 107,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,633.29 : 212,581.17 = 71,561.81 : x
  2. Step 2: Convert to fraction form
    141,633.29/212,581.17 = 71,561.81/x
  3. Step 3: Cross multiply
    141,633.29x = 212,581.17 × 71,561.81
  4. Step 4: Simplify right side
    141,633.29x = 15,212,693,297.12
  5. Step 5: Solve for x
    x = 15,212,693,297.12/141,633.29
  6. Step 6: Final answer
    x = 107,409.02

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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.