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Finding the Fourth Proportional to 188,700.82, 283,054.12 and 48,456.34

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Solution

The fourth proportional to 188,700.82, 283,054.12 and 48,456.34 is: 72,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,700.82 : 283,054.12 = 48,456.34 : x
  2. Step 2: Convert to fraction form
    188,700.82/283,054.12 = 48,456.34/x
  3. Step 3: Cross multiply
    188,700.82x = 283,054.12 × 48,456.34
  4. Step 4: Simplify right side
    188,700.82x = 13,715,766,677.12
  5. Step 5: Solve for x
    x = 13,715,766,677.12/188,700.82
  6. Step 6: Final answer
    x = 72,685.25

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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.