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Finding the Fourth Proportional to 188,092.23, 281,939.99 and 61,699.47

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Solution

The fourth proportional to 188,092.23, 281,939.99 and 61,699.47 is: 92,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,092.23 : 281,939.99 = 61,699.47 : x
  2. Step 2: Convert to fraction form
    188,092.23/281,939.99 = 61,699.47/x
  3. Step 3: Cross multiply
    188,092.23x = 281,939.99 × 61,699.47
  4. Step 4: Simplify right side
    188,092.23x = 17,395,549,050.64
  5. Step 5: Solve for x
    x = 17,395,549,050.64/188,092.23
  6. Step 6: Final answer
    x = 92,484.14

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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.