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Finding the Fourth Proportional to 223,665.85, 335,487.82 and 83,413.54

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Solution

The fourth proportional to 223,665.85, 335,487.82 and 83,413.54 is: 125,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,665.85 : 335,487.82 = 83,413.54 : x
  2. Step 2: Convert to fraction form
    223,665.85/335,487.82 = 83,413.54/x
  3. Step 3: Cross multiply
    223,665.85x = 335,487.82 × 83,413.54
  4. Step 4: Simplify right side
    223,665.85x = 27,984,226,693.08
  5. Step 5: Solve for x
    x = 27,984,226,693.08/223,665.85
  6. Step 6: Final answer
    x = 125,116.22

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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.