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Finding the Fourth Proportional to 183,132.75, 275,946.99 and 150,582

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Solution

The fourth proportional to 183,132.75, 275,946.99 and 150,582 is: 226,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,132.75 : 275,946.99 = 150,582 : x
  2. Step 2: Convert to fraction form
    183,132.75/275,946.99 = 150,582/x
  3. Step 3: Cross multiply
    183,132.75x = 275,946.99 × 150,582
  4. Step 4: Simplify right side
    183,132.75x = 41,552,649,648.18
  5. Step 5: Solve for x
    x = 41,552,649,648.18/183,132.75
  6. Step 6: Final answer
    x = 226,899.06

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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.