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Finding the Fourth Proportional to 137,601.58, 206,421.48 and 48,834

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Solution

The fourth proportional to 137,601.58, 206,421.48 and 48,834 is: 73,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,601.58 : 206,421.48 = 48,834 : x
  2. Step 2: Convert to fraction form
    137,601.58/206,421.48 = 48,834/x
  3. Step 3: Cross multiply
    137,601.58x = 206,421.48 × 48,834
  4. Step 4: Simplify right side
    137,601.58x = 10,080,386,554.32
  5. Step 5: Solve for x
    x = 10,080,386,554.32/137,601.58
  6. Step 6: Final answer
    x = 73,257.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.