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Finding the Fourth Proportional to 164,413.31, 246,627.12 and 52,101.80

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Solution

The fourth proportional to 164,413.31, 246,627.12 and 52,101.80 is: 78,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,413.31 : 246,627.12 = 52,101.80 : x
  2. Step 2: Convert to fraction form
    164,413.31/246,627.12 = 52,101.80/x
  3. Step 3: Cross multiply
    164,413.31x = 246,627.12 × 52,101.80
  4. Step 4: Simplify right side
    164,413.31x = 12,849,715,647.68
  5. Step 5: Solve for x
    x = 12,849,715,647.68/164,413.31
  6. Step 6: Final answer
    x = 78,154.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.