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Finding the Fourth Proportional to 161,770.14, 223,233.30 and 93,781.80

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Solution

The fourth proportional to 161,770.14, 223,233.30 and 93,781.80 is: 129,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,770.14 : 223,233.30 = 93,781.80 : x
  2. Step 2: Convert to fraction form
    161,770.14/223,233.30 = 93,781.80/x
  3. Step 3: Cross multiply
    161,770.14x = 223,233.30 × 93,781.80
  4. Step 4: Simplify right side
    161,770.14x = 20,935,220,693.94
  5. Step 5: Solve for x
    x = 20,935,220,693.94/161,770.14
  6. Step 6: Final answer
    x = 129,413.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.