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Finding the Fourth Proportional to 273,074.56, 409,597.11 and 83,534.96

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Solution

The fourth proportional to 273,074.56, 409,597.11 and 83,534.96 is: 125,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,074.56 : 409,597.11 = 83,534.96 : x
  2. Step 2: Convert to fraction form
    273,074.56/409,597.11 = 83,534.96/x
  3. Step 3: Cross multiply
    273,074.56x = 409,597.11 × 83,534.96
  4. Step 4: Simplify right side
    273,074.56x = 34,215,679,223.96
  5. Step 5: Solve for x
    x = 34,215,679,223.96/273,074.56
  6. Step 6: Final answer
    x = 125,297.94

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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.