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Finding the Fourth Proportional to 100,262.96, 150,377.56 and 46,960.52

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Solution

The fourth proportional to 100,262.96, 150,377.56 and 46,960.52 is: 70,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,262.96 : 150,377.56 = 46,960.52 : x
  2. Step 2: Convert to fraction form
    100,262.96/150,377.56 = 46,960.52/x
  3. Step 3: Cross multiply
    100,262.96x = 150,377.56 × 46,960.52
  4. Step 4: Simplify right side
    100,262.96x = 7,061,808,413.93
  5. Step 5: Solve for x
    x = 7,061,808,413.93/100,262.96
  6. Step 6: Final answer
    x = 70,432.87

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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.