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Finding the Fourth Proportional to 198,427.87, 297,642.62 and 48,669.13

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Solution

The fourth proportional to 198,427.87, 297,642.62 and 48,669.13 is: 73,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,427.87 : 297,642.62 = 48,669.13 : x
  2. Step 2: Convert to fraction form
    198,427.87/297,642.62 = 48,669.13/x
  3. Step 3: Cross multiply
    198,427.87x = 297,642.62 × 48,669.13
  4. Step 4: Simplify right side
    198,427.87x = 14,486,007,366.32
  5. Step 5: Solve for x
    x = 14,486,007,366.32/198,427.87
  6. Step 6: Final answer
    x = 73,003.89

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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.