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Finding the Fourth Proportional to 137,413.79, 206,087.50 and 57,408.52

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Solution

The fourth proportional to 137,413.79, 206,087.50 and 57,408.52 is: 86,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.79 : 206,087.50 = 57,408.52 : x
  2. Step 2: Convert to fraction form
    137,413.79/206,087.50 = 57,408.52/x
  3. Step 3: Cross multiply
    137,413.79x = 206,087.50 × 57,408.52
  4. Step 4: Simplify right side
    137,413.79x = 11,831,178,365.50
  5. Step 5: Solve for x
    x = 11,831,178,365.50/137,413.79
  6. Step 6: Final answer
    x = 86,098.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.