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Finding the Fourth Proportional to 273,261.97, 409,905.26 and 83,708.51

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Solution

The fourth proportional to 273,261.97, 409,905.26 and 83,708.51 is: 125,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,261.97 : 409,905.26 = 83,708.51 : x
  2. Step 2: Convert to fraction form
    273,261.97/409,905.26 = 83,708.51/x
  3. Step 3: Cross multiply
    273,261.97x = 409,905.26 × 83,708.51
  4. Step 4: Simplify right side
    273,261.97x = 34,312,556,401.60
  5. Step 5: Solve for x
    x = 34,312,556,401.60/273,261.97
  6. Step 6: Final answer
    x = 125,566.53

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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.