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Finding the Fourth Proportional to 198,857.56, 298,243.14 and 65,706.28

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Solution

The fourth proportional to 198,857.56, 298,243.14 and 65,706.28 is: 98,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,857.56 : 298,243.14 = 65,706.28 : x
  2. Step 2: Convert to fraction form
    198,857.56/298,243.14 = 65,706.28/x
  3. Step 3: Cross multiply
    198,857.56x = 298,243.14 × 65,706.28
  4. Step 4: Simplify right side
    198,857.56x = 19,596,447,264.92
  5. Step 5: Solve for x
    x = 19,596,447,264.92/198,857.56
  6. Step 6: Final answer
    x = 98,545.15

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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.