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Finding the Fourth Proportional to 133,618.14, 200,167.82 and 119,422.08

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Solution

The fourth proportional to 133,618.14, 200,167.82 and 119,422.08 is: 178,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,618.14 : 200,167.82 = 119,422.08 : x
  2. Step 2: Convert to fraction form
    133,618.14/200,167.82 = 119,422.08/x
  3. Step 3: Cross multiply
    133,618.14x = 200,167.82 × 119,422.08
  4. Step 4: Simplify right side
    133,618.14x = 23,904,457,413.47
  5. Step 5: Solve for x
    x = 23,904,457,413.47/133,618.14
  6. Step 6: Final answer
    x = 178,901.29

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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.