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Finding the Fourth Proportional to 137,806.38, 206,446.59 and 93,356.82

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Solution

The fourth proportional to 137,806.38, 206,446.59 and 93,356.82 is: 139,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,806.38 : 206,446.59 = 93,356.82 : x
  2. Step 2: Convert to fraction form
    137,806.38/206,446.59 = 93,356.82/x
  3. Step 3: Cross multiply
    137,806.38x = 206,446.59 × 93,356.82
  4. Step 4: Simplify right side
    137,806.38x = 19,273,197,142.24
  5. Step 5: Solve for x
    x = 19,273,197,142.24/137,806.38
  6. Step 6: Final answer
    x = 139,857.07

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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.