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Finding the Fourth Proportional to 137,096.74, 205,647.54 and 48,348.28

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Solution

The fourth proportional to 137,096.74, 205,647.54 and 48,348.28 is: 72,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,096.74 : 205,647.54 = 48,348.28 : x
  2. Step 2: Convert to fraction form
    137,096.74/205,647.54 = 48,348.28/x
  3. Step 3: Cross multiply
    137,096.74x = 205,647.54 × 48,348.28
  4. Step 4: Simplify right side
    137,096.74x = 9,942,704,845.23
  5. Step 5: Solve for x
    x = 9,942,704,845.23/137,096.74
  6. Step 6: Final answer
    x = 72,523.28

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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.