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Finding the Fourth Proportional to 269,200.53, 403,769.52 and 69,505.23

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Solution

The fourth proportional to 269,200.53, 403,769.52 and 69,505.23 is: 104,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,200.53 : 403,769.52 = 69,505.23 : x
  2. Step 2: Convert to fraction form
    269,200.53/403,769.52 = 69,505.23/x
  3. Step 3: Cross multiply
    269,200.53x = 403,769.52 × 69,505.23
  4. Step 4: Simplify right side
    269,200.53x = 28,064,093,354.59
  5. Step 5: Solve for x
    x = 28,064,093,354.59/269,200.53
  6. Step 6: Final answer
    x = 104,249.77

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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.