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Finding the Fourth Proportional to 137,927.70, 206,891.55 and 102,935.70

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Solution

The fourth proportional to 137,927.70, 206,891.55 and 102,935.70 is: 154,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,927.70 : 206,891.55 = 102,935.70 : x
  2. Step 2: Convert to fraction form
    137,927.70/206,891.55 = 102,935.70/x
  3. Step 3: Cross multiply
    137,927.70x = 206,891.55 × 102,935.70
  4. Step 4: Simplify right side
    137,927.70x = 21,296,526,523.34
  5. Step 5: Solve for x
    x = 21,296,526,523.34/137,927.70
  6. Step 6: Final answer
    x = 154,403.55

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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.