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Finding the Fourth Proportional to 157,024.92, 235,544.67 and 50,413.22

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Solution

The fourth proportional to 157,024.92, 235,544.67 and 50,413.22 is: 75,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,024.92 : 235,544.67 = 50,413.22 : x
  2. Step 2: Convert to fraction form
    157,024.92/235,544.67 = 50,413.22/x
  3. Step 3: Cross multiply
    157,024.92x = 235,544.67 × 50,413.22
  4. Step 4: Simplify right side
    157,024.92x = 11,874,565,268.54
  5. Step 5: Solve for x
    x = 11,874,565,268.54/157,024.92
  6. Step 6: Final answer
    x = 75,622.17

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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.