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Finding the Fourth Proportional to 137,644.92, 206,327.94 and 93,276.16

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Solution

The fourth proportional to 137,644.92, 206,327.94 and 93,276.16 is: 139,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,644.92 : 206,327.94 = 93,276.16 : x
  2. Step 2: Convert to fraction form
    137,644.92/206,327.94 = 93,276.16/x
  3. Step 3: Cross multiply
    137,644.92x = 206,327.94 × 93,276.16
  4. Step 4: Simplify right side
    137,644.92x = 19,245,477,943.91
  5. Step 5: Solve for x
    x = 19,245,477,943.91/137,644.92
  6. Step 6: Final answer
    x = 139,819.75

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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.