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Finding the Fourth Proportional to 222,852.92, 333,965.10 and 123,058.04

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Solution

The fourth proportional to 222,852.92, 333,965.10 and 123,058.04 is: 184,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,852.92 : 333,965.10 = 123,058.04 : x
  2. Step 2: Convert to fraction form
    222,852.92/333,965.10 = 123,058.04/x
  3. Step 3: Cross multiply
    222,852.92x = 333,965.10 × 123,058.04
  4. Step 4: Simplify right side
    222,852.92x = 41,097,090,634.40
  5. Step 5: Solve for x
    x = 41,097,090,634.40/222,852.92
  6. Step 6: Final answer
    x = 184,413.52

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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.