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Finding the Fourth Proportional to 198,894.12, 297,866.30 and 114,476.84

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Solution

The fourth proportional to 198,894.12, 297,866.30 and 114,476.84 is: 171,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,894.12 : 297,866.30 = 114,476.84 : x
  2. Step 2: Convert to fraction form
    198,894.12/297,866.30 = 114,476.84/x
  3. Step 3: Cross multiply
    198,894.12x = 297,866.30 × 114,476.84
  4. Step 4: Simplify right side
    198,894.12x = 34,098,791,134.06
  5. Step 5: Solve for x
    x = 34,098,791,134.06/198,894.12
  6. Step 6: Final answer
    x = 171,441.93

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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.