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Finding the Fourth Proportional to 205,609.87, 307,561.88 and 193,012.75

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Solution

The fourth proportional to 205,609.87, 307,561.88 and 193,012.75 is: 288,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,609.87 : 307,561.88 = 193,012.75 : x
  2. Step 2: Convert to fraction form
    205,609.87/307,561.88 = 193,012.75/x
  3. Step 3: Cross multiply
    205,609.87x = 307,561.88 × 193,012.75
  4. Step 4: Simplify right side
    205,609.87x = 59,363,363,288.91
  5. Step 5: Solve for x
    x = 59,363,363,288.91/205,609.87
  6. Step 6: Final answer
    x = 288,718.45

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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.