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Finding the Fourth Proportional to 198,212.72, 297,316.47 and 48,454.32

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Solution

The fourth proportional to 198,212.72, 297,316.47 and 48,454.32 is: 72,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,212.72 : 297,316.47 = 48,454.32 : x
  2. Step 2: Convert to fraction form
    198,212.72/297,316.47 = 48,454.32/x
  3. Step 3: Cross multiply
    198,212.72x = 297,316.47 × 48,454.32
  4. Step 4: Simplify right side
    198,212.72x = 14,406,267,378.65
  5. Step 5: Solve for x
    x = 14,406,267,378.65/198,212.72
  6. Step 6: Final answer
    x = 72,680.84

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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.