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Finding the Fourth Proportional to 133,602.50, 200,413.44 and 44,855.24

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Solution

The fourth proportional to 133,602.50, 200,413.44 and 44,855.24 is: 67,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,602.50 : 200,413.44 = 44,855.24 : x
  2. Step 2: Convert to fraction form
    133,602.50/200,413.44 = 44,855.24/x
  3. Step 3: Cross multiply
    133,602.50x = 200,413.44 × 44,855.24
  4. Step 4: Simplify right side
    133,602.50x = 8,989,592,950.43
  5. Step 5: Solve for x
    x = 8,989,592,950.43/133,602.50
  6. Step 6: Final answer
    x = 67,286.11

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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.