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Finding the Fourth Proportional to 188,728.31, 283,092.47 and 48,486.94

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Solution

The fourth proportional to 188,728.31, 283,092.47 and 48,486.94 is: 72,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,728.31 : 283,092.47 = 48,486.94 : x
  2. Step 2: Convert to fraction form
    188,728.31/283,092.47 = 48,486.94/x
  3. Step 3: Cross multiply
    188,728.31x = 283,092.47 × 48,486.94
  4. Step 4: Simplify right side
    188,728.31x = 13,726,286,839.00
  5. Step 5: Solve for x
    x = 13,726,286,839.00/188,728.31
  6. Step 6: Final answer
    x = 72,730.41

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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.