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Finding the Fourth Proportional to 178,413.90, 246,214.56 and 97,836.62

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Solution

The fourth proportional to 178,413.90, 246,214.56 and 97,836.62 is: 135,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,413.90 : 246,214.56 = 97,836.62 : x
  2. Step 2: Convert to fraction form
    178,413.90/246,214.56 = 97,836.62/x
  3. Step 3: Cross multiply
    178,413.90x = 246,214.56 × 97,836.62
  4. Step 4: Simplify right side
    178,413.90x = 24,088,800,345.19
  5. Step 5: Solve for x
    x = 24,088,800,345.19/178,413.90
  6. Step 6: Final answer
    x = 135,016.39

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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.