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Finding the Fourth Proportional to 202,952.19, 304,425.12 and 69,833.61

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Solution

The fourth proportional to 202,952.19, 304,425.12 and 69,833.61 is: 104,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.19 : 304,425.12 = 69,833.61 : x
  2. Step 2: Convert to fraction form
    202,952.19/304,425.12 = 69,833.61/x
  3. Step 3: Cross multiply
    202,952.19x = 304,425.12 × 69,833.61
  4. Step 4: Simplify right side
    202,952.19x = 21,259,105,104.28
  5. Step 5: Solve for x
    x = 21,259,105,104.28/202,952.19
  6. Step 6: Final answer
    x = 104,749.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.