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Finding the Fourth Proportional to 205,954.74, 284,070.96 and 189,013.68

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Solution

The fourth proportional to 205,954.74, 284,070.96 and 189,013.68 is: 260,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,954.74 : 284,070.96 = 189,013.68 : x
  2. Step 2: Convert to fraction form
    205,954.74/284,070.96 = 189,013.68/x
  3. Step 3: Cross multiply
    205,954.74x = 284,070.96 × 189,013.68
  4. Step 4: Simplify right side
    205,954.74x = 53,693,297,530.73
  5. Step 5: Solve for x
    x = 53,693,297,530.73/205,954.74
  6. Step 6: Final answer
    x = 260,704.35

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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.