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Finding the Fourth Proportional to 167,842.80, 231,642.84 and 94,267.34

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Solution

The fourth proportional to 167,842.80, 231,642.84 and 94,267.34 is: 130,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,842.80 : 231,642.84 = 94,267.34 : x
  2. Step 2: Convert to fraction form
    167,842.80/231,642.84 = 94,267.34/x
  3. Step 3: Cross multiply
    167,842.80x = 231,642.84 × 94,267.34
  4. Step 4: Simplify right side
    167,842.80x = 21,836,354,356.85
  5. Step 5: Solve for x
    x = 21,836,354,356.85/167,842.80
  6. Step 6: Final answer
    x = 130,100.04

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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.