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Finding the Fourth Proportional to 167,349, 230,943.24 and 91,899.12

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Solution

The fourth proportional to 167,349, 230,943.24 and 91,899.12 is: 126,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,349 : 230,943.24 = 91,899.12 : x
  2. Step 2: Convert to fraction form
    167,349/230,943.24 = 91,899.12/x
  3. Step 3: Cross multiply
    167,349x = 230,943.24 × 91,899.12
  4. Step 4: Simplify right side
    167,349x = 21,223,480,525.95
  5. Step 5: Solve for x
    x = 21,223,480,525.95/167,349
  6. Step 6: Final answer
    x = 126,821.68

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1.5x scale

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.