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Finding the Fourth Proportional to 157,665.38, 217,578.24 and 101,076.75

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Solution

The fourth proportional to 157,665.38, 217,578.24 and 101,076.75 is: 139,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,665.38 : 217,578.24 = 101,076.75 : x
  2. Step 2: Convert to fraction form
    157,665.38/217,578.24 = 101,076.75/x
  3. Step 3: Cross multiply
    157,665.38x = 217,578.24 × 101,076.75
  4. Step 4: Simplify right side
    157,665.38x = 21,992,101,369.92
  5. Step 5: Solve for x
    x = 21,992,101,369.92/157,665.38
  6. Step 6: Final answer
    x = 139,485.93

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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.