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Finding the Fourth Proportional to 266,113.26, 367,233.75 and 145,255.32

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Solution

The fourth proportional to 266,113.26, 367,233.75 and 145,255.32 is: 200,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,113.26 : 367,233.75 = 145,255.32 : x
  2. Step 2: Convert to fraction form
    266,113.26/367,233.75 = 145,255.32/x
  3. Step 3: Cross multiply
    266,113.26x = 367,233.75 × 145,255.32
  4. Step 4: Simplify right side
    266,113.26x = 53,342,655,871.05
  5. Step 5: Solve for x
    x = 53,342,655,871.05/266,113.26
  6. Step 6: Final answer
    x = 200,450.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.