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Finding the Fourth Proportional to 200,631.46, 300,859.70 and 75,884.98

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Solution

The fourth proportional to 200,631.46, 300,859.70 and 75,884.98 is: 113,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,631.46 : 300,859.70 = 75,884.98 : x
  2. Step 2: Convert to fraction form
    200,631.46/300,859.70 = 75,884.98/x
  3. Step 3: Cross multiply
    200,631.46x = 300,859.70 × 75,884.98
  4. Step 4: Simplify right side
    200,631.46x = 22,830,732,317.31
  5. Step 5: Solve for x
    x = 22,830,732,317.31/200,631.46
  6. Step 6: Final answer
    x = 113,794.38

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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.