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Finding the Fourth Proportional to 142,533.60, 213,874.24 and 103,413.60

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Solution

The fourth proportional to 142,533.60, 213,874.24 and 103,413.60 is: 155,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,533.60 : 213,874.24 = 103,413.60 : x
  2. Step 2: Convert to fraction form
    142,533.60/213,874.24 = 103,413.60/x
  3. Step 3: Cross multiply
    142,533.60x = 213,874.24 × 103,413.60
  4. Step 4: Simplify right side
    142,533.60x = 22,117,505,105.66
  5. Step 5: Solve for x
    x = 22,117,505,105.66/142,533.60
  6. Step 6: Final answer
    x = 155,173.97

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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.