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Finding the Fourth Proportional to 183,413.94, 275,200.11 and 99,233.42

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Solution

The fourth proportional to 183,413.94, 275,200.11 and 99,233.42 is: 148,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,413.94 : 275,200.11 = 99,233.42 : x
  2. Step 2: Convert to fraction form
    183,413.94/275,200.11 = 99,233.42/x
  3. Step 3: Cross multiply
    183,413.94x = 275,200.11 × 99,233.42
  4. Step 4: Simplify right side
    183,413.94x = 27,309,048,099.68
  5. Step 5: Solve for x
    x = 27,309,048,099.68/183,413.94
  6. Step 6: Final answer
    x = 148,892.98

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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.