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Finding the Fourth Proportional to 205,611.87, 307,564.86 and 193,014.75

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Solution

The fourth proportional to 205,611.87, 307,564.86 and 193,014.75 is: 288,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,611.87 : 307,564.86 = 193,014.75 : x
  2. Step 2: Convert to fraction form
    205,611.87/307,564.86 = 193,014.75/x
  3. Step 3: Cross multiply
    205,611.87x = 307,564.86 × 193,014.75
  4. Step 4: Simplify right side
    205,611.87x = 59,364,554,561.69
  5. Step 5: Solve for x
    x = 59,364,554,561.69/205,611.87
  6. Step 6: Final answer
    x = 288,721.44

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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.