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Finding the Fourth Proportional to 200,842.26, 301,267.75 and 72,769.98

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Solution

The fourth proportional to 200,842.26, 301,267.75 and 72,769.98 is: 109,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,842.26 : 301,267.75 = 72,769.98 : x
  2. Step 2: Convert to fraction form
    200,842.26/301,267.75 = 72,769.98/x
  3. Step 3: Cross multiply
    200,842.26x = 301,267.75 × 72,769.98
  4. Step 4: Simplify right side
    200,842.26x = 21,923,248,142.15
  5. Step 5: Solve for x
    x = 21,923,248,142.15/200,842.26
  6. Step 6: Final answer
    x = 109,156.55

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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.