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Finding the Fourth Proportional to 158,084.09, 218,161.26 and 86,464.11

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Solution

The fourth proportional to 158,084.09, 218,161.26 and 86,464.11 is: 119,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,084.09 : 218,161.26 = 86,464.11 : x
  2. Step 2: Convert to fraction form
    158,084.09/218,161.26 = 86,464.11/x
  3. Step 3: Cross multiply
    158,084.09x = 218,161.26 × 86,464.11
  4. Step 4: Simplify right side
    158,084.09x = 18,863,119,182.38
  5. Step 5: Solve for x
    x = 18,863,119,182.38/158,084.09
  6. Step 6: Final answer
    x = 119,323.32

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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.