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Finding the Fourth Proportional to 123,413.15, 185,126.90 and 34,673.57

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Solution

The fourth proportional to 123,413.15, 185,126.90 and 34,673.57 is: 52,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,413.15 : 185,126.90 = 34,673.57 : x
  2. Step 2: Convert to fraction form
    123,413.15/185,126.90 = 34,673.57/x
  3. Step 3: Cross multiply
    123,413.15x = 185,126.90 × 34,673.57
  4. Step 4: Simplify right side
    123,413.15x = 6,419,009,427.03
  5. Step 5: Solve for x
    x = 6,419,009,427.03/123,413.15
  6. Step 6: Final answer
    x = 52,012.36

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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.