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Finding the Fourth Proportional to 216,016.92, 298,089.18 and 135,441

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Solution

The fourth proportional to 216,016.92, 298,089.18 and 135,441 is: 186,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,016.92 : 298,089.18 = 135,441 : x
  2. Step 2: Convert to fraction form
    216,016.92/298,089.18 = 135,441/x
  3. Step 3: Cross multiply
    216,016.92x = 298,089.18 × 135,441
  4. Step 4: Simplify right side
    216,016.92x = 40,373,496,628.38
  5. Step 5: Solve for x
    x = 40,373,496,628.38/216,016.92
  6. Step 6: Final answer
    x = 186,899.70

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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.