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Finding the Fourth Proportional to 169,861.44, 254,792.16 and 76,257.84

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Solution

The fourth proportional to 169,861.44, 254,792.16 and 76,257.84 is: 114,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,861.44 : 254,792.16 = 76,257.84 : x
  2. Step 2: Convert to fraction form
    169,861.44/254,792.16 = 76,257.84/x
  3. Step 3: Cross multiply
    169,861.44x = 254,792.16 × 76,257.84
  4. Step 4: Simplify right side
    169,861.44x = 19,429,899,770.53
  5. Step 5: Solve for x
    x = 19,429,899,770.53/169,861.44
  6. Step 6: Final answer
    x = 114,386.76

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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.