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Finding the Fourth Proportional to 198,597.57, 297,893.75 and 48,839.17

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Solution

The fourth proportional to 198,597.57, 297,893.75 and 48,839.17 is: 73,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,597.57 : 297,893.75 = 48,839.17 : x
  2. Step 2: Convert to fraction form
    198,597.57/297,893.75 = 48,839.17/x
  3. Step 3: Cross multiply
    198,597.57x = 297,893.75 × 48,839.17
  4. Step 4: Simplify right side
    198,597.57x = 14,548,882,875.55
  5. Step 5: Solve for x
    x = 14,548,882,875.55/198,597.57
  6. Step 6: Final answer
    x = 73,258.11

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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.