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Finding the Fourth Proportional to 179,413.86, 269,200.98 and 100,527.96

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Solution

The fourth proportional to 179,413.86, 269,200.98 and 100,527.96 is: 150,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,413.86 : 269,200.98 = 100,527.96 : x
  2. Step 2: Convert to fraction form
    179,413.86/269,200.98 = 100,527.96/x
  3. Step 3: Cross multiply
    179,413.86x = 269,200.98 × 100,527.96
  4. Step 4: Simplify right side
    179,413.86x = 27,062,225,349.40
  5. Step 5: Solve for x
    x = 27,062,225,349.40/179,413.86
  6. Step 6: Final answer
    x = 150,836.87

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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.