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Finding the Fourth Proportional to 183,203.68, 274,753.68 and 83,308

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Solution

The fourth proportional to 183,203.68, 274,753.68 and 83,308 is: 124,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,203.68 : 274,753.68 = 83,308 : x
  2. Step 2: Convert to fraction form
    183,203.68/274,753.68 = 83,308/x
  3. Step 3: Cross multiply
    183,203.68x = 274,753.68 × 83,308
  4. Step 4: Simplify right side
    183,203.68x = 22,889,179,573.44
  5. Step 5: Solve for x
    x = 22,889,179,573.44/183,203.68
  6. Step 6: Final answer
    x = 124,938.43

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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.