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Finding the Fourth Proportional to 153,413.40, 230,120.10 and 48,232.20

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Solution

The fourth proportional to 153,413.40, 230,120.10 and 48,232.20 is: 72,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,413.40 : 230,120.10 = 48,232.20 : x
  2. Step 2: Convert to fraction form
    153,413.40/230,120.10 = 48,232.20/x
  3. Step 3: Cross multiply
    153,413.40x = 230,120.10 × 48,232.20
  4. Step 4: Simplify right side
    153,413.40x = 11,099,198,687.22
  5. Step 5: Solve for x
    x = 11,099,198,687.22/153,413.40
  6. Step 6: Final answer
    x = 72,348.30

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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.