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Finding the Fourth Proportional to 183,532.78, 275,298.62 and 50,413.16

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Solution

The fourth proportional to 183,532.78, 275,298.62 and 50,413.16 is: 75,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,532.78 : 275,298.62 = 50,413.16 : x
  2. Step 2: Convert to fraction form
    183,532.78/275,298.62 = 50,413.16/x
  3. Step 3: Cross multiply
    183,532.78x = 275,298.62 × 50,413.16
  4. Step 4: Simplify right side
    183,532.78x = 13,878,674,192.12
  5. Step 5: Solve for x
    x = 13,878,674,192.12/183,532.78
  6. Step 6: Final answer
    x = 75,619.59

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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.