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Finding the Fourth Proportional to 198,798.23, 298,256.12 and 114,618.78

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Solution

The fourth proportional to 198,798.23, 298,256.12 and 114,618.78 is: 171,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,798.23 : 298,256.12 = 114,618.78 : x
  2. Step 2: Convert to fraction form
    198,798.23/298,256.12 = 114,618.78/x
  3. Step 3: Cross multiply
    198,798.23x = 298,256.12 × 114,618.78
  4. Step 4: Simplify right side
    198,798.23x = 34,185,752,028.84
  5. Step 5: Solve for x
    x = 34,185,752,028.84/198,798.23
  6. Step 6: Final answer
    x = 171,962.06

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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.