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Finding the Fourth Proportional to 205,884.40, 308,826.60 and 72,763.60

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Solution

The fourth proportional to 205,884.40, 308,826.60 and 72,763.60 is: 109,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,884.40 : 308,826.60 = 72,763.60 : x
  2. Step 2: Convert to fraction form
    205,884.40/308,826.60 = 72,763.60/x
  3. Step 3: Cross multiply
    205,884.40x = 308,826.60 × 72,763.60
  4. Step 4: Simplify right side
    205,884.40x = 22,471,335,191.76
  5. Step 5: Solve for x
    x = 22,471,335,191.76/205,884.40
  6. Step 6: Final answer
    x = 109,145.40

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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.