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Finding the Fourth Proportional to 222,386.33, 306,893.70 and 120,413.01

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Solution

The fourth proportional to 222,386.33, 306,893.70 and 120,413.01 is: 166,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,386.33 : 306,893.70 = 120,413.01 : x
  2. Step 2: Convert to fraction form
    222,386.33/306,893.70 = 120,413.01/x
  3. Step 3: Cross multiply
    222,386.33x = 306,893.70 × 120,413.01
  4. Step 4: Simplify right side
    222,386.33x = 36,953,995,317.89
  5. Step 5: Solve for x
    x = 36,953,995,317.89/222,386.33
  6. Step 6: Final answer
    x = 166,170.26

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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.