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Finding the Fourth Proportional to 137,342.41, 206,014.91 and 48,610.96

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Solution

The fourth proportional to 137,342.41, 206,014.91 and 48,610.96 is: 72,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,342.41 : 206,014.91 = 48,610.96 : x
  2. Step 2: Convert to fraction form
    137,342.41/206,014.91 = 48,610.96/x
  3. Step 3: Cross multiply
    137,342.41x = 206,014.91 × 48,610.96
  4. Step 4: Simplify right side
    137,342.41x = 10,014,582,549.41
  5. Step 5: Solve for x
    x = 10,014,582,549.41/137,342.41
  6. Step 6: Final answer
    x = 72,916.90

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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.