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Finding the Fourth Proportional to 137,885.40, 206,876.70 and 133,025.40

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Solution

The fourth proportional to 137,885.40, 206,876.70 and 133,025.40 is: 199,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,885.40 : 206,876.70 = 133,025.40 : x
  2. Step 2: Convert to fraction form
    137,885.40/206,876.70 = 133,025.40/x
  3. Step 3: Cross multiply
    137,885.40x = 206,876.70 × 133,025.40
  4. Step 4: Simplify right side
    137,885.40x = 27,519,855,768.18
  5. Step 5: Solve for x
    x = 27,519,855,768.18/137,885.40
  6. Step 6: Final answer
    x = 199,584.99

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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.