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Finding the Fourth Proportional to 142,694.55, 214,043.93 and 67,822.34

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Solution

The fourth proportional to 142,694.55, 214,043.93 and 67,822.34 is: 101,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,694.55 : 214,043.93 = 67,822.34 : x
  2. Step 2: Convert to fraction form
    142,694.55/214,043.93 = 67,822.34/x
  3. Step 3: Cross multiply
    142,694.55x = 214,043.93 × 67,822.34
  4. Step 4: Simplify right side
    142,694.55x = 14,516,958,786.06
  5. Step 5: Solve for x
    x = 14,516,958,786.06/142,694.55
  6. Step 6: Final answer
    x = 101,734.50

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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.