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Finding the Fourth Proportional to 157,874.94, 217,859.49 and 86,241.78

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Solution

The fourth proportional to 157,874.94, 217,859.49 and 86,241.78 is: 119,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,874.94 : 217,859.49 = 86,241.78 : x
  2. Step 2: Convert to fraction form
    157,874.94/217,859.49 = 86,241.78/x
  3. Step 3: Cross multiply
    157,874.94x = 217,859.49 × 86,241.78
  4. Step 4: Simplify right side
    157,874.94x = 18,788,590,207.49
  5. Step 5: Solve for x
    x = 18,788,590,207.49/157,874.94
  6. Step 6: Final answer
    x = 119,009.33

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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.