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Finding the Fourth Proportional to 151,413.44, 208,947.84 and 84,344

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Solution

The fourth proportional to 151,413.44, 208,947.84 and 84,344 is: 116,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,413.44 : 208,947.84 = 84,344 : x
  2. Step 2: Convert to fraction form
    151,413.44/208,947.84 = 84,344/x
  3. Step 3: Cross multiply
    151,413.44x = 208,947.84 × 84,344
  4. Step 4: Simplify right side
    151,413.44x = 17,623,496,616.96
  5. Step 5: Solve for x
    x = 17,623,496,616.96/151,413.44
  6. Step 6: Final answer
    x = 116,393.21

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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.