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Finding the Fourth Proportional to 137,085.44, 205,644.60 and 48,320.60

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Solution

The fourth proportional to 137,085.44, 205,644.60 and 48,320.60 is: 72,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,085.44 : 205,644.60 = 48,320.60 : x
  2. Step 2: Convert to fraction form
    137,085.44/205,644.60 = 48,320.60/x
  3. Step 3: Cross multiply
    137,085.44x = 205,644.60 × 48,320.60
  4. Step 4: Simplify right side
    137,085.44x = 9,936,870,458.76
  5. Step 5: Solve for x
    x = 9,936,870,458.76/137,085.44
  6. Step 6: Final answer
    x = 72,486.69

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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.