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Finding the Fourth Proportional to 198,221.50, 297,329.59 and 48,463.08

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Solution

The fourth proportional to 198,221.50, 297,329.59 and 48,463.08 is: 72,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,221.50 : 297,329.59 = 48,463.08 : x
  2. Step 2: Convert to fraction form
    198,221.50/297,329.59 = 48,463.08/x
  3. Step 3: Cross multiply
    198,221.50x = 297,329.59 × 48,463.08
  4. Step 4: Simplify right side
    198,221.50x = 14,409,507,767.12
  5. Step 5: Solve for x
    x = 14,409,507,767.12/198,221.50
  6. Step 6: Final answer
    x = 72,693.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.