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Finding the Fourth Proportional to 233,413.95, 321,433.31 and 202,773.07

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Solution

The fourth proportional to 233,413.95, 321,433.31 and 202,773.07 is: 279,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,413.95 : 321,433.31 = 202,773.07 : x
  2. Step 2: Convert to fraction form
    233,413.95/321,433.31 = 202,773.07/x
  3. Step 3: Cross multiply
    233,413.95x = 321,433.31 × 202,773.07
  4. Step 4: Simplify right side
    233,413.95x = 65,178,019,068.96
  5. Step 5: Solve for x
    x = 65,178,019,068.96/233,413.95
  6. Step 6: Final answer
    x = 279,237.89

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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.