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Finding the Fourth Proportional to 167,315.34, 230,809.60 and 106,822.38

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Solution

The fourth proportional to 167,315.34, 230,809.60 and 106,822.38 is: 147,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,315.34 : 230,809.60 = 106,822.38 : x
  2. Step 2: Convert to fraction form
    167,315.34/230,809.60 = 106,822.38/x
  3. Step 3: Cross multiply
    167,315.34x = 230,809.60 × 106,822.38
  4. Step 4: Simplify right side
    167,315.34x = 24,655,631,797.91
  5. Step 5: Solve for x
    x = 24,655,631,797.91/167,315.34
  6. Step 6: Final answer
    x = 147,360.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.