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Finding the Fourth Proportional to 225,963.42, 311,839.29 and 135,334.14

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Solution

The fourth proportional to 225,963.42, 311,839.29 and 135,334.14 is: 186,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,963.42 : 311,839.29 = 135,334.14 : x
  2. Step 2: Convert to fraction form
    225,963.42/311,839.29 = 135,334.14/x
  3. Step 3: Cross multiply
    225,963.42x = 311,839.29 × 135,334.14
  4. Step 4: Simplify right side
    225,963.42x = 42,202,502,130.36
  5. Step 5: Solve for x
    x = 42,202,502,130.36/225,963.42
  6. Step 6: Final answer
    x = 186,766.96

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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.