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Finding the Fourth Proportional to 215,834.20, 323,828.10 and 208,154.20

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Solution

The fourth proportional to 215,834.20, 323,828.10 and 208,154.20 is: 312,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,834.20 : 323,828.10 = 208,154.20 : x
  2. Step 2: Convert to fraction form
    215,834.20/323,828.10 = 208,154.20/x
  3. Step 3: Cross multiply
    215,834.20x = 323,828.10 × 208,154.20
  4. Step 4: Simplify right side
    215,834.20x = 67,406,179,093.02
  5. Step 5: Solve for x
    x = 67,406,179,093.02/215,834.20
  6. Step 6: Final answer
    x = 312,305.37

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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.