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Finding the Fourth Proportional to 205,793.87, 308,681.52 and 85,801.38

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Solution

The fourth proportional to 205,793.87, 308,681.52 and 85,801.38 is: 128,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,793.87 : 308,681.52 = 85,801.38 : x
  2. Step 2: Convert to fraction form
    205,793.87/308,681.52 = 85,801.38/x
  3. Step 3: Cross multiply
    205,793.87x = 308,681.52 × 85,801.38
  4. Step 4: Simplify right side
    205,793.87x = 26,485,300,396.50
  5. Step 5: Solve for x
    x = 26,485,300,396.50/205,793.87
  6. Step 6: Final answer
    x = 128,698.20

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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.