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Finding the Fourth Proportional to 198,234.59, 297,382.88 and 65,084.57

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Solution

The fourth proportional to 198,234.59, 297,382.88 and 65,084.57 is: 97,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,234.59 : 297,382.88 = 65,084.57 : x
  2. Step 2: Convert to fraction form
    198,234.59/297,382.88 = 65,084.57/x
  3. Step 3: Cross multiply
    198,234.59x = 297,382.88 × 65,084.57
  4. Step 4: Simplify right side
    198,234.59x = 19,355,035,057.82
  5. Step 5: Solve for x
    x = 19,355,035,057.82/198,234.59
  6. Step 6: Final answer
    x = 97,637.02

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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.