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Finding the Fourth Proportional to 272,127.60, 407,413.80 and 167,151.60

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Solution

The fourth proportional to 272,127.60, 407,413.80 and 167,151.60 is: 250,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,127.60 : 407,413.80 = 167,151.60 : x
  2. Step 2: Convert to fraction form
    272,127.60/407,413.80 = 167,151.60/x
  3. Step 3: Cross multiply
    272,127.60x = 407,413.80 × 167,151.60
  4. Step 4: Simplify right side
    272,127.60x = 68,099,868,532.08
  5. Step 5: Solve for x
    x = 68,099,868,532.08/272,127.60
  6. Step 6: Final answer
    x = 250,249.77

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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.