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Finding the Fourth Proportional to 103,343.22, 142,627.91 and 57,413.16

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Solution

The fourth proportional to 103,343.22, 142,627.91 and 57,413.16 is: 79,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,343.22 : 142,627.91 = 57,413.16 : x
  2. Step 2: Convert to fraction form
    103,343.22/142,627.91 = 57,413.16/x
  3. Step 3: Cross multiply
    103,343.22x = 142,627.91 × 57,413.16
  4. Step 4: Simplify right side
    103,343.22x = 8,188,718,730.23
  5. Step 5: Solve for x
    x = 8,188,718,730.23/103,343.22
  6. Step 6: Final answer
    x = 79,238.08

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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.