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Finding the Fourth Proportional to 202,854.83, 304,193.47 and 96,269.33

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Solution

The fourth proportional to 202,854.83, 304,193.47 and 96,269.33 is: 144,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,854.83 : 304,193.47 = 96,269.33 : x
  2. Step 2: Convert to fraction form
    202,854.83/304,193.47 = 96,269.33/x
  3. Step 3: Cross multiply
    202,854.83x = 304,193.47 × 96,269.33
  4. Step 4: Simplify right side
    202,854.83x = 29,284,500,926.36
  5. Step 5: Solve for x
    x = 29,284,500,926.36/202,854.83
  6. Step 6: Final answer
    x = 144,361.87

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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.