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Finding the Fourth Proportional to 183,131.75, 275,945.50 and 150,581

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Solution

The fourth proportional to 183,131.75, 275,945.50 and 150,581 is: 226,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,131.75 : 275,945.50 = 150,581 : x
  2. Step 2: Convert to fraction form
    183,131.75/275,945.50 = 150,581/x
  3. Step 3: Cross multiply
    183,131.75x = 275,945.50 × 150,581
  4. Step 4: Simplify right side
    183,131.75x = 41,552,148,582.60
  5. Step 5: Solve for x
    x = 41,552,148,582.60/183,131.75
  6. Step 6: Final answer
    x = 226,897.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.