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Finding the Fourth Proportional to 202,854.97, 304,160.95 and 96,265.45

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Solution

The fourth proportional to 202,854.97, 304,160.95 and 96,265.45 is: 144,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,854.97 : 304,160.95 = 96,265.45 : x
  2. Step 2: Convert to fraction form
    202,854.97/304,160.95 = 96,265.45/x
  3. Step 3: Cross multiply
    202,854.97x = 304,160.95 × 96,265.45
  4. Step 4: Simplify right side
    202,854.97x = 29,280,190,724.18
  5. Step 5: Solve for x
    x = 29,280,190,724.18/202,854.97
  6. Step 6: Final answer
    x = 144,340.51

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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.