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Finding the Fourth Proportional to 137,089.80, 205,634.70 and 109,096.20

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Solution

The fourth proportional to 137,089.80, 205,634.70 and 109,096.20 is: 163,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,089.80 : 205,634.70 = 109,096.20 : x
  2. Step 2: Convert to fraction form
    137,089.80/205,634.70 = 109,096.20/x
  3. Step 3: Cross multiply
    137,089.80x = 205,634.70 × 109,096.20
  4. Step 4: Simplify right side
    137,089.80x = 22,433,964,358.14
  5. Step 5: Solve for x
    x = 22,433,964,358.14/137,089.80
  6. Step 6: Final answer
    x = 163,644.30

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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.