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Finding the Fourth Proportional to 205,811.80, 288,758.60 and 205,811.80

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Solution

The fourth proportional to 205,811.80, 288,758.60 and 205,811.80 is: 288,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,811.80 : 288,758.60 = 205,811.80 : x
  2. Step 2: Convert to fraction form
    205,811.80/288,758.60 = 205,811.80/x
  3. Step 3: Cross multiply
    205,811.80x = 288,758.60 × 205,811.80
  4. Step 4: Simplify right side
    205,811.80x = 59,429,927,231.48
  5. Step 5: Solve for x
    x = 59,429,927,231.48/205,811.80
  6. Step 6: Final answer
    x = 288,758.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.