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Finding the Fourth Proportional to 137,670.98, 206,506.46 and 48,927.98

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Solution

The fourth proportional to 137,670.98, 206,506.46 and 48,927.98 is: 73,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,670.98 : 206,506.46 = 48,927.98 : x
  2. Step 2: Convert to fraction form
    137,670.98/206,506.46 = 48,927.98/x
  3. Step 3: Cross multiply
    137,670.98x = 206,506.46 × 48,927.98
  4. Step 4: Simplify right side
    137,670.98x = 10,103,942,667.58
  5. Step 5: Solve for x
    x = 10,103,942,667.58/137,670.98
  6. Step 6: Final answer
    x = 73,391.96

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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.