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Finding the Fourth Proportional to 137,465.60, 206,198.40 and 106,323.20

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Solution

The fourth proportional to 137,465.60, 206,198.40 and 106,323.20 is: 159,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,465.60 : 206,198.40 = 106,323.20 : x
  2. Step 2: Convert to fraction form
    137,465.60/206,198.40 = 106,323.20/x
  3. Step 3: Cross multiply
    137,465.60x = 206,198.40 × 106,323.20
  4. Step 4: Simplify right side
    137,465.60x = 21,923,673,722.88
  5. Step 5: Solve for x
    x = 21,923,673,722.88/137,465.60
  6. Step 6: Final answer
    x = 159,484.80

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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.