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Finding the Fourth Proportional to 104,203.19, 143,806.47 and 58,880

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Solution

The fourth proportional to 104,203.19, 143,806.47 and 58,880 is: 81,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,203.19 : 143,806.47 = 58,880 : x
  2. Step 2: Convert to fraction form
    104,203.19/143,806.47 = 58,880/x
  3. Step 3: Cross multiply
    104,203.19x = 143,806.47 × 58,880
  4. Step 4: Simplify right side
    104,203.19x = 8,467,324,953.60
  5. Step 5: Solve for x
    x = 8,467,324,953.60/104,203.19
  6. Step 6: Final answer
    x = 81,257.83

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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.