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Finding the Fourth Proportional to 202,877.88, 304,447.38 and 109,448.12

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Solution

The fourth proportional to 202,877.88, 304,447.38 and 109,448.12 is: 164,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,877.88 : 304,447.38 = 109,448.12 : x
  2. Step 2: Convert to fraction form
    202,877.88/304,447.38 = 109,448.12/x
  3. Step 3: Cross multiply
    202,877.88x = 304,447.38 × 109,448.12
  4. Step 4: Simplify right side
    202,877.88x = 33,321,193,379.93
  5. Step 5: Solve for x
    x = 33,321,193,379.93/202,877.88
  6. Step 6: Final answer
    x = 164,242.61

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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.