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Finding the Fourth Proportional to 158,235.82, 218,365.50 and 86,616.25

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Solution

The fourth proportional to 158,235.82, 218,365.50 and 86,616.25 is: 119,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,235.82 : 218,365.50 = 86,616.25 : x
  2. Step 2: Convert to fraction form
    158,235.82/218,365.50 = 86,616.25/x
  3. Step 3: Cross multiply
    158,235.82x = 218,365.50 × 86,616.25
  4. Step 4: Simplify right side
    158,235.82x = 18,914,000,739.38
  5. Step 5: Solve for x
    x = 18,914,000,739.38/158,235.82
  6. Step 6: Final answer
    x = 119,530.46

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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.