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Finding the Fourth Proportional to 161,952.62, 242,928.92 and 83,016.50

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Solution

The fourth proportional to 161,952.62, 242,928.92 and 83,016.50 is: 124,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,952.62 : 242,928.92 = 83,016.50 : x
  2. Step 2: Convert to fraction form
    161,952.62/242,928.92 = 83,016.50/x
  3. Step 3: Cross multiply
    161,952.62x = 242,928.92 × 83,016.50
  4. Step 4: Simplify right side
    161,952.62x = 20,167,107,680.08
  5. Step 5: Solve for x
    x = 20,167,107,680.08/161,952.62
  6. Step 6: Final answer
    x = 124,524.74

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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.