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Finding the Fourth Proportional to 311,049.36, 466,296.12 and 121,465.62

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Solution

The fourth proportional to 311,049.36, 466,296.12 and 121,465.62 is: 182,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,049.36 : 466,296.12 = 121,465.62 : x
  2. Step 2: Convert to fraction form
    311,049.36/466,296.12 = 121,465.62/x
  3. Step 3: Cross multiply
    311,049.36x = 466,296.12 × 121,465.62
  4. Step 4: Simplify right side
    311,049.36x = 56,638,947,319.39
  5. Step 5: Solve for x
    x = 56,638,947,319.39/311,049.36
  6. Step 6: Final answer
    x = 182,089.90

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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.