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Finding the Fourth Proportional to 167,881.76, 231,384.76 and 146,236.54

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Solution

The fourth proportional to 167,881.76, 231,384.76 and 146,236.54 is: 201,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,881.76 : 231,384.76 = 146,236.54 : x
  2. Step 2: Convert to fraction form
    167,881.76/231,384.76 = 146,236.54/x
  3. Step 3: Cross multiply
    167,881.76x = 231,384.76 × 146,236.54
  4. Step 4: Simplify right side
    167,881.76x = 33,836,906,711.13
  5. Step 5: Solve for x
    x = 33,836,906,711.13/167,881.76
  6. Step 6: Final answer
    x = 201,552.01

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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.