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Finding the Fourth Proportional to 205,126.40, 307,862.40 and 80,556.80

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Solution

The fourth proportional to 205,126.40, 307,862.40 and 80,556.80 is: 120,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,126.40 : 307,862.40 = 80,556.80 : x
  2. Step 2: Convert to fraction form
    205,126.40/307,862.40 = 80,556.80/x
  3. Step 3: Cross multiply
    205,126.40x = 307,862.40 × 80,556.80
  4. Step 4: Simplify right side
    205,126.40x = 24,800,409,784.32
  5. Step 5: Solve for x
    x = 24,800,409,784.32/205,126.40
  6. Step 6: Final answer
    x = 120,903.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.