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Finding the Fourth Proportional to 132,330, 198,496.08 and 49,224

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Solution

The fourth proportional to 132,330, 198,496.08 and 49,224 is: 73,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,330 : 198,496.08 = 49,224 : x
  2. Step 2: Convert to fraction form
    132,330/198,496.08 = 49,224/x
  3. Step 3: Cross multiply
    132,330x = 198,496.08 × 49,224
  4. Step 4: Simplify right side
    132,330x = 9,770,771,041.92
  5. Step 5: Solve for x
    x = 9,770,771,041.92/132,330
  6. Step 6: Final answer
    x = 73,836.40

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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.