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Finding the Fourth Proportional to 199,358.29, 298,986.09 and 59,084.11

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Solution

The fourth proportional to 199,358.29, 298,986.09 and 59,084.11 is: 88,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,358.29 : 298,986.09 = 59,084.11 : x
  2. Step 2: Convert to fraction form
    199,358.29/298,986.09 = 59,084.11/x
  3. Step 3: Cross multiply
    199,358.29x = 298,986.09 × 59,084.11
  4. Step 4: Simplify right side
    199,358.29x = 17,665,327,030.03
  5. Step 5: Solve for x
    x = 17,665,327,030.03/199,358.29
  6. Step 6: Final answer
    x = 88,610.95

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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.