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Finding the Fourth Proportional to 115,581.84, 173,372.80 and 75,634.49

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Solution

The fourth proportional to 115,581.84, 173,372.80 and 75,634.49 is: 113,451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,581.84 : 173,372.80 = 75,634.49 : x
  2. Step 2: Convert to fraction form
    115,581.84/173,372.80 = 75,634.49/x
  3. Step 3: Cross multiply
    115,581.84x = 173,372.80 × 75,634.49
  4. Step 4: Simplify right side
    115,581.84x = 13,112,963,514.46
  5. Step 5: Solve for x
    x = 13,112,963,514.46/115,581.84
  6. Step 6: Final answer
    x = 113,451.76

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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.