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Finding the Fourth Proportional to 137,465.88, 206,166 and 100,461.84

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Solution

The fourth proportional to 137,465.88, 206,166 and 100,461.84 is: 150,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,465.88 : 206,166 = 100,461.84 : x
  2. Step 2: Convert to fraction form
    137,465.88/206,166 = 100,461.84/x
  3. Step 3: Cross multiply
    137,465.88x = 206,166 × 100,461.84
  4. Step 4: Simplify right side
    137,465.88x = 20,711,815,705.44
  5. Step 5: Solve for x
    x = 20,711,815,705.44/137,465.88
  6. Step 6: Final answer
    x = 150,668.77

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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.