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Finding the Fourth Proportional to 198,277.44, 297,353.18 and 65,126.70

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Solution

The fourth proportional to 198,277.44, 297,353.18 and 65,126.70 is: 97,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,277.44 : 297,353.18 = 65,126.70 : x
  2. Step 2: Convert to fraction form
    198,277.44/297,353.18 = 65,126.70/x
  3. Step 3: Cross multiply
    198,277.44x = 297,353.18 × 65,126.70
  4. Step 4: Simplify right side
    198,277.44x = 19,365,631,144.39
  5. Step 5: Solve for x
    x = 19,365,631,144.39/198,277.44
  6. Step 6: Final answer
    x = 97,669.36

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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.