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Finding the Fourth Proportional to 161,413.50, 242,121.46 and 56,232.30

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Solution

The fourth proportional to 161,413.50, 242,121.46 and 56,232.30 is: 84,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,413.50 : 242,121.46 = 56,232.30 : x
  2. Step 2: Convert to fraction form
    161,413.50/242,121.46 = 56,232.30/x
  3. Step 3: Cross multiply
    161,413.50x = 242,121.46 × 56,232.30
  4. Step 4: Simplify right side
    161,413.50x = 13,615,046,575.16
  5. Step 5: Solve for x
    x = 13,615,046,575.16/161,413.50
  6. Step 6: Final answer
    x = 84,348.87

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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.