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Finding the Fourth Proportional to 103,808, 143,255.20 and 59,096

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Solution

The fourth proportional to 103,808, 143,255.20 and 59,096 is: 81,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,808 : 143,255.20 = 59,096 : x
  2. Step 2: Convert to fraction form
    103,808/143,255.20 = 59,096/x
  3. Step 3: Cross multiply
    103,808x = 143,255.20 × 59,096
  4. Step 4: Simplify right side
    103,808x = 8,465,809,299.20
  5. Step 5: Solve for x
    x = 8,465,809,299.20/103,808
  6. Step 6: Final answer
    x = 81,552.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.