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Finding the Fourth Proportional to 205,049.60, 307,660.80 and 111,622.40

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Solution

The fourth proportional to 205,049.60, 307,660.80 and 111,622.40 is: 167,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,049.60 : 307,660.80 = 111,622.40 : x
  2. Step 2: Convert to fraction form
    205,049.60/307,660.80 = 111,622.40/x
  3. Step 3: Cross multiply
    205,049.60x = 307,660.80 × 111,622.40
  4. Step 4: Simplify right side
    205,049.60x = 34,341,836,881.92
  5. Step 5: Solve for x
    x = 34,341,836,881.92/205,049.60
  6. Step 6: Final answer
    x = 167,480.63

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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.