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Finding the Fourth Proportional to 137,930.24, 206,929.92 and 44,433.92

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Solution

The fourth proportional to 137,930.24, 206,929.92 and 44,433.92 is: 66,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,930.24 : 206,929.92 = 44,433.92 : x
  2. Step 2: Convert to fraction form
    137,930.24/206,929.92 = 44,433.92/x
  3. Step 3: Cross multiply
    137,930.24x = 206,929.92 × 44,433.92
  4. Step 4: Simplify right side
    137,930.24x = 9,194,707,510.89
  5. Step 5: Solve for x
    x = 9,194,707,510.89/137,930.24
  6. Step 6: Final answer
    x = 66,662.01

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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.