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Finding the Fourth Proportional to 167,046, 230,523.50 and 91,596.12

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Solution

The fourth proportional to 167,046, 230,523.50 and 91,596.12 is: 126,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,046 : 230,523.50 = 91,596.12 : x
  2. Step 2: Convert to fraction form
    167,046/230,523.50 = 91,596.12/x
  3. Step 3: Cross multiply
    167,046x = 230,523.50 × 91,596.12
  4. Step 4: Simplify right side
    167,046x = 21,115,057,710.84
  5. Step 5: Solve for x
    x = 21,115,057,710.84/167,046
  6. Step 6: Final answer
    x = 126,402.65

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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.