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Finding the Fourth Proportional to 167,758, 231,507.66 and 92,308.12

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Solution

The fourth proportional to 167,758, 231,507.66 and 92,308.12 is: 127,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,758 : 231,507.66 = 92,308.12 : x
  2. Step 2: Convert to fraction form
    167,758/231,507.66 = 92,308.12/x
  3. Step 3: Cross multiply
    167,758x = 231,507.66 × 92,308.12
  4. Step 4: Simplify right side
    167,758x = 21,370,036,860.20
  5. Step 5: Solve for x
    x = 21,370,036,860.20/167,758
  6. Step 6: Final answer
    x = 127,386.10

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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.