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Finding the Fourth Proportional to 161,601, 242,199 and 86,535.08

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Solution

The fourth proportional to 161,601, 242,199 and 86,535.08 is: 129,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,601 : 242,199 = 86,535.08 : x
  2. Step 2: Convert to fraction form
    161,601/242,199 = 86,535.08/x
  3. Step 3: Cross multiply
    161,601x = 242,199 × 86,535.08
  4. Step 4: Simplify right side
    161,601x = 20,958,709,840.92
  5. Step 5: Solve for x
    x = 20,958,709,840.92/161,601
  6. Step 6: Final answer
    x = 129,694.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.