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Finding the Fourth Proportional to 223,396.38, 335,119.10 and 96,949.71

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Solution

The fourth proportional to 223,396.38, 335,119.10 and 96,949.71 is: 145,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,396.38 : 335,119.10 = 96,949.71 : x
  2. Step 2: Convert to fraction form
    223,396.38/335,119.10 = 96,949.71/x
  3. Step 3: Cross multiply
    223,396.38x = 335,119.10 × 96,949.71
  4. Step 4: Simplify right side
    223,396.38x = 32,489,699,075.71
  5. Step 5: Solve for x
    x = 32,489,699,075.71/223,396.38
  6. Step 6: Final answer
    x = 145,435.21

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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.