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Finding the Fourth Proportional to 137,642.92, 206,324.94 and 93,274.16

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Solution

The fourth proportional to 137,642.92, 206,324.94 and 93,274.16 is: 139,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,642.92 : 206,324.94 = 93,274.16 : x
  2. Step 2: Convert to fraction form
    137,642.92/206,324.94 = 93,274.16/x
  3. Step 3: Cross multiply
    137,642.92x = 206,324.94 × 93,274.16
  4. Step 4: Simplify right side
    137,642.92x = 19,244,785,465.55
  5. Step 5: Solve for x
    x = 19,244,785,465.55/137,642.92
  6. Step 6: Final answer
    x = 139,816.75

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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.