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Finding the Fourth Proportional to 157,808.44, 217,767.45 and 86,174.47

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Solution

The fourth proportional to 157,808.44, 217,767.45 and 86,174.47 is: 118,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,808.44 : 217,767.45 = 86,174.47 : x
  2. Step 2: Convert to fraction form
    157,808.44/217,767.45 = 86,174.47/x
  3. Step 3: Cross multiply
    157,808.44x = 217,767.45 × 86,174.47
  4. Step 4: Simplify right side
    157,808.44x = 18,765,994,587.00
  5. Step 5: Solve for x
    x = 18,765,994,587.00/157,808.44
  6. Step 6: Final answer
    x = 118,916.29

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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.