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Finding the Fourth Proportional to 158,001.81, 218,043.25 and 86,381.82

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Solution

The fourth proportional to 158,001.81, 218,043.25 and 86,381.82 is: 119,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,001.81 : 218,043.25 = 86,381.82 : x
  2. Step 2: Convert to fraction form
    158,001.81/218,043.25 = 86,381.82/x
  3. Step 3: Cross multiply
    158,001.81x = 218,043.25 × 86,381.82
  4. Step 4: Simplify right side
    158,001.81x = 18,834,972,773.72
  5. Step 5: Solve for x
    x = 18,834,972,773.72/158,001.81
  6. Step 6: Final answer
    x = 119,207.32

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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.