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Finding the Fourth Proportional to 137,429.40, 206,144.10 and 106,325.40

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Solution

The fourth proportional to 137,429.40, 206,144.10 and 106,325.40 is: 159,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,429.40 : 206,144.10 = 106,325.40 : x
  2. Step 2: Convert to fraction form
    137,429.40/206,144.10 = 106,325.40/x
  3. Step 3: Cross multiply
    137,429.40x = 206,144.10 × 106,325.40
  4. Step 4: Simplify right side
    137,429.40x = 21,918,353,890.14
  5. Step 5: Solve for x
    x = 21,918,353,890.14/137,429.40
  6. Step 6: Final answer
    x = 159,488.10

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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.