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Finding the Fourth Proportional to 298,141.32, 447,215.10 and 87,783.24

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Solution

The fourth proportional to 298,141.32, 447,215.10 and 87,783.24 is: 131,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,141.32 : 447,215.10 = 87,783.24 : x
  2. Step 2: Convert to fraction form
    298,141.32/447,215.10 = 87,783.24/x
  3. Step 3: Cross multiply
    298,141.32x = 447,215.10 × 87,783.24
  4. Step 4: Simplify right side
    298,141.32x = 39,257,990,454.92
  5. Step 5: Solve for x
    x = 39,257,990,454.92/298,141.32
  6. Step 6: Final answer
    x = 131,675.78

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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.