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Finding the Fourth Proportional to 157,835.25, 217,811.34 and 86,215.29

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Solution

The fourth proportional to 157,835.25, 217,811.34 and 86,215.29 is: 118,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,835.25 : 217,811.34 = 86,215.29 : x
  2. Step 2: Convert to fraction form
    157,835.25/217,811.34 = 86,215.29/x
  3. Step 3: Cross multiply
    157,835.25x = 217,811.34 × 86,215.29
  4. Step 4: Simplify right side
    157,835.25x = 18,778,667,843.39
  5. Step 5: Solve for x
    x = 18,778,667,843.39/157,835.25
  6. Step 6: Final answer
    x = 118,976.39

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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.