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Finding the Fourth Proportional to 157,893.82, 217,894.99 and 86,273.83

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Solution

The fourth proportional to 157,893.82, 217,894.99 and 86,273.83 is: 119,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,893.82 : 217,894.99 = 86,273.83 : x
  2. Step 2: Convert to fraction form
    157,893.82/217,894.99 = 86,273.83/x
  3. Step 3: Cross multiply
    157,893.82x = 217,894.99 × 86,273.83
  4. Step 4: Simplify right side
    157,893.82x = 18,798,635,325.11
  5. Step 5: Solve for x
    x = 18,798,635,325.11/157,893.82
  6. Step 6: Final answer
    x = 119,058.72

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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.