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Finding the Fourth Proportional to 147,024, 219,863.16 and 109,609.56

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Solution

The fourth proportional to 147,024, 219,863.16 and 109,609.56 is: 163,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,024 : 219,863.16 = 109,609.56 : x
  2. Step 2: Convert to fraction form
    147,024/219,863.16 = 109,609.56/x
  3. Step 3: Cross multiply
    147,024x = 219,863.16 × 109,609.56
  4. Step 4: Simplify right side
    147,024x = 24,099,104,227.81
  5. Step 5: Solve for x
    x = 24,099,104,227.81/147,024
  6. Step 6: Final answer
    x = 163,912.72

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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.