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Finding the Fourth Proportional to 158,896.73, 219,279.06 and 86,301.03

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Solution

The fourth proportional to 158,896.73, 219,279.06 and 86,301.03 is: 119,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,896.73 : 219,279.06 = 86,301.03 : x
  2. Step 2: Convert to fraction form
    158,896.73/219,279.06 = 86,301.03/x
  3. Step 3: Cross multiply
    158,896.73x = 219,279.06 × 86,301.03
  4. Step 4: Simplify right side
    158,896.73x = 18,924,009,557.73
  5. Step 5: Solve for x
    x = 18,924,009,557.73/158,896.73
  6. Step 6: Final answer
    x = 119,096.28

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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.