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Finding the Fourth Proportional to 301,952.33, 416,695.56 and 165,995.02

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Solution

The fourth proportional to 301,952.33, 416,695.56 and 165,995.02 is: 229,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,952.33 : 416,695.56 = 165,995.02 : x
  2. Step 2: Convert to fraction form
    301,952.33/416,695.56 = 165,995.02/x
  3. Step 3: Cross multiply
    301,952.33x = 416,695.56 × 165,995.02
  4. Step 4: Simplify right side
    301,952.33x = 69,169,389,115.08
  5. Step 5: Solve for x
    x = 69,169,389,115.08/301,952.33
  6. Step 6: Final answer
    x = 229,073.87

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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.