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Finding the Fourth Proportional to 200,868.00, 301,319.68 and 74,509.62

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Solution

The fourth proportional to 200,868.00, 301,319.68 and 74,509.62 is: 111,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,868.00 : 301,319.68 = 74,509.62 : x
  2. Step 2: Convert to fraction form
    200,868.00/301,319.68 = 74,509.62/x
  3. Step 3: Cross multiply
    200,868.00x = 301,319.68 × 74,509.62
  4. Step 4: Simplify right side
    200,868.00x = 22,451,213,348.72
  5. Step 5: Solve for x
    x = 22,451,213,348.72/200,868.00
  6. Step 6: Final answer
    x = 111,770.98

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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.