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Finding the Fourth Proportional to 137,672.81, 206,509.22 and 48,929.82

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Solution

The fourth proportional to 137,672.81, 206,509.22 and 48,929.82 is: 73,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,672.81 : 206,509.22 = 48,929.82 : x
  2. Step 2: Convert to fraction form
    137,672.81/206,509.22 = 48,929.82/x
  3. Step 3: Cross multiply
    137,672.81x = 206,509.22 × 48,929.82
  4. Step 4: Simplify right side
    137,672.81x = 10,104,458,962.94
  5. Step 5: Solve for x
    x = 10,104,458,962.94/137,672.81
  6. Step 6: Final answer
    x = 73,394.73

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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.