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Finding the Fourth Proportional to 266,256, 367,436.31 and 145,398.72

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Solution

The fourth proportional to 266,256, 367,436.31 and 145,398.72 is: 200,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,256 : 367,436.31 = 145,398.72 : x
  2. Step 2: Convert to fraction form
    266,256/367,436.31 = 145,398.72/x
  3. Step 3: Cross multiply
    266,256x = 367,436.31 × 145,398.72
  4. Step 4: Simplify right side
    266,256x = 53,424,769,155.52
  5. Step 5: Solve for x
    x = 53,424,769,155.52/266,256
  6. Step 6: Final answer
    x = 200,651.89

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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.