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Finding the Fourth Proportional to 158,589.27, 218,856.21 and 86,965.02

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Solution

The fourth proportional to 158,589.27, 218,856.21 and 86,965.02 is: 120,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,589.27 : 218,856.21 = 86,965.02 : x
  2. Step 2: Convert to fraction form
    158,589.27/218,856.21 = 86,965.02/x
  3. Step 3: Cross multiply
    158,589.27x = 218,856.21 × 86,965.02
  4. Step 4: Simplify right side
    158,589.27x = 19,032,834,679.77
  5. Step 5: Solve for x
    x = 19,032,834,679.77/158,589.27
  6. Step 6: Final answer
    x = 120,013.38

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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.