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Finding the Fourth Proportional to 201,881.32, 278,593.99 and 114,665.81

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Solution

The fourth proportional to 201,881.32, 278,593.99 and 114,665.81 is: 158,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,881.32 : 278,593.99 = 114,665.81 : x
  2. Step 2: Convert to fraction form
    201,881.32/278,593.99 = 114,665.81/x
  3. Step 3: Cross multiply
    201,881.32x = 278,593.99 × 114,665.81
  4. Step 4: Simplify right side
    201,881.32x = 31,945,207,393.50
  5. Step 5: Solve for x
    x = 31,945,207,393.50/201,881.32
  6. Step 6: Final answer
    x = 158,237.56

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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.