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Finding the Fourth Proportional to 221,209.40, 331,814.10 and 73,465.40

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Solution

The fourth proportional to 221,209.40, 331,814.10 and 73,465.40 is: 110,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,209.40 : 331,814.10 = 73,465.40 : x
  2. Step 2: Convert to fraction form
    221,209.40/331,814.10 = 73,465.40/x
  3. Step 3: Cross multiply
    221,209.40x = 331,814.10 × 73,465.40
  4. Step 4: Simplify right side
    221,209.40x = 24,376,855,582.14
  5. Step 5: Solve for x
    x = 24,376,855,582.14/221,209.40
  6. Step 6: Final answer
    x = 110,198.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.