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Finding the Fourth Proportional to 210,906.96, 291,051.62 and 115,413.66

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Solution

The fourth proportional to 210,906.96, 291,051.62 and 115,413.66 is: 159,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,906.96 : 291,051.62 = 115,413.66 : x
  2. Step 2: Convert to fraction form
    210,906.96/291,051.62 = 115,413.66/x
  3. Step 3: Cross multiply
    210,906.96x = 291,051.62 × 115,413.66
  4. Step 4: Simplify right side
    210,906.96x = 33,591,332,713.13
  5. Step 5: Solve for x
    x = 33,591,332,713.13/210,906.96
  6. Step 6: Final answer
    x = 159,270.86

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