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Finding the Fourth Proportional to 266,542.38, 367,956 and 157,665.15

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Solution

The fourth proportional to 266,542.38, 367,956 and 157,665.15 is: 217,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,542.38 : 367,956 = 157,665.15 : x
  2. Step 2: Convert to fraction form
    266,542.38/367,956 = 157,665.15/x
  3. Step 3: Cross multiply
    266,542.38x = 367,956 × 157,665.15
  4. Step 4: Simplify right side
    266,542.38x = 58,013,837,933.40
  5. Step 5: Solve for x
    x = 58,013,837,933.40/266,542.38
  6. Step 6: Final answer
    x = 217,653.34

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Why These Related Problems?

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