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Finding the Fourth Proportional to 148,858.86, 205,413.31 and 85,182.06

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Solution

The fourth proportional to 148,858.86, 205,413.31 and 85,182.06 is: 117,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,858.86 : 205,413.31 = 85,182.06 : x
  2. Step 2: Convert to fraction form
    148,858.86/205,413.31 = 85,182.06/x
  3. Step 3: Cross multiply
    148,858.86x = 205,413.31 × 85,182.06
  4. Step 4: Simplify right side
    148,858.86x = 17,497,528,897.22
  5. Step 5: Solve for x
    x = 17,497,528,897.22/148,858.86
  6. Step 6: Final answer
    x = 117,544.42

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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.