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Finding the Fourth Proportional to 157,896.09, 217,894.01 and 86,274.57

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Solution

The fourth proportional to 157,896.09, 217,894.01 and 86,274.57 is: 119,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896.09 : 217,894.01 = 86,274.57 : x
  2. Step 2: Convert to fraction form
    157,896.09/217,894.01 = 86,274.57/x
  3. Step 3: Cross multiply
    157,896.09x = 217,894.01 × 86,274.57
  4. Step 4: Simplify right side
    157,896.09x = 18,798,712,018.33
  5. Step 5: Solve for x
    x = 18,798,712,018.33/157,896.09
  6. Step 6: Final answer
    x = 119,057.49

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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.