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Finding the Fourth Proportional to 178,413.68, 246,210.72 and 97,842.48

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Solution

The fourth proportional to 178,413.68, 246,210.72 and 97,842.48 is: 135,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,413.68 : 246,210.72 = 97,842.48 : x
  2. Step 2: Convert to fraction form
    178,413.68/246,210.72 = 97,842.48/x
  3. Step 3: Cross multiply
    178,413.68x = 246,210.72 × 97,842.48
  4. Step 4: Simplify right side
    178,413.68x = 24,089,867,447.39
  5. Step 5: Solve for x
    x = 24,089,867,447.39/178,413.68
  6. Step 6: Final answer
    x = 135,022.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.