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Finding the Fourth Proportional to 311,214.96, 466,863.35 and 111,558.06

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Solution

The fourth proportional to 311,214.96, 466,863.35 and 111,558.06 is: 167,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,214.96 : 466,863.35 = 111,558.06 : x
  2. Step 2: Convert to fraction form
    311,214.96/466,863.35 = 111,558.06/x
  3. Step 3: Cross multiply
    311,214.96x = 466,863.35 × 111,558.06
  4. Step 4: Simplify right side
    311,214.96x = 52,082,369,053.31
  5. Step 5: Solve for x
    x = 52,082,369,053.31/311,214.96
  6. Step 6: Final answer
    x = 167,351.75

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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.