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Finding the Fourth Proportional to 198,846.16, 298,315.95 and 65,726.42

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Solution

The fourth proportional to 198,846.16, 298,315.95 and 65,726.42 is: 98,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,846.16 : 298,315.95 = 65,726.42 : x
  2. Step 2: Convert to fraction form
    198,846.16/298,315.95 = 65,726.42/x
  3. Step 3: Cross multiply
    198,846.16x = 298,315.95 × 65,726.42
  4. Step 4: Simplify right side
    198,846.16x = 19,607,239,362.37
  5. Step 5: Solve for x
    x = 19,607,239,362.37/198,846.16
  6. Step 6: Final answer
    x = 98,605.07

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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.