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Finding the Fourth Proportional to 205,761.93, 284,048.55 and 154,794.11

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Solution

The fourth proportional to 205,761.93, 284,048.55 and 154,794.11 is: 213,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,761.93 : 284,048.55 = 154,794.11 : x
  2. Step 2: Convert to fraction form
    205,761.93/284,048.55 = 154,794.11/x
  3. Step 3: Cross multiply
    205,761.93x = 284,048.55 × 154,794.11
  4. Step 4: Simplify right side
    205,761.93x = 43,969,042,494.04
  5. Step 5: Solve for x
    x = 43,969,042,494.04/205,761.93
  6. Step 6: Final answer
    x = 213,688.91

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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.