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Finding the Fourth Proportional to 136,942.30, 205,413.45 and 38,446.30

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Solution

The fourth proportional to 136,942.30, 205,413.45 and 38,446.30 is: 57,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,942.30 : 205,413.45 = 38,446.30 : x
  2. Step 2: Convert to fraction form
    136,942.30/205,413.45 = 38,446.30/x
  3. Step 3: Cross multiply
    136,942.30x = 205,413.45 × 38,446.30
  4. Step 4: Simplify right side
    136,942.30x = 7,897,387,122.74
  5. Step 5: Solve for x
    x = 7,897,387,122.74/136,942.30
  6. Step 6: Final answer
    x = 57,669.45

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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.