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Finding the Fourth Proportional to 198,437.27, 297,696.90 and 65,325.53

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Solution

The fourth proportional to 198,437.27, 297,696.90 and 65,325.53 is: 98,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,437.27 : 297,696.90 = 65,325.53 : x
  2. Step 2: Convert to fraction form
    198,437.27/297,696.90 = 65,325.53/x
  3. Step 3: Cross multiply
    198,437.27x = 297,696.90 × 65,325.53
  4. Step 4: Simplify right side
    198,437.27x = 19,447,207,771.86
  5. Step 5: Solve for x
    x = 19,447,207,771.86/198,437.27
  6. Step 6: Final answer
    x = 98,001.79

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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.