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Finding the Fourth Proportional to 208,413.72, 287,610.54 and 112,923

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Solution

The fourth proportional to 208,413.72, 287,610.54 and 112,923 is: 155,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,413.72 : 287,610.54 = 112,923 : x
  2. Step 2: Convert to fraction form
    208,413.72/287,610.54 = 112,923/x
  3. Step 3: Cross multiply
    208,413.72x = 287,610.54 × 112,923
  4. Step 4: Simplify right side
    208,413.72x = 32,477,845,008.42
  5. Step 5: Solve for x
    x = 32,477,845,008.42/208,413.72
  6. Step 6: Final answer
    x = 155,833.53

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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.