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Finding the Fourth Proportional to 214,896.60, 322,261.92 and 72,704.16

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Solution

The fourth proportional to 214,896.60, 322,261.92 and 72,704.16 is: 109,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,896.60 : 322,261.92 = 72,704.16 : x
  2. Step 2: Convert to fraction form
    214,896.60/322,261.92 = 72,704.16/x
  3. Step 3: Cross multiply
    214,896.60x = 322,261.92 × 72,704.16
  4. Step 4: Simplify right side
    214,896.60x = 23,429,782,193.59
  5. Step 5: Solve for x
    x = 23,429,782,193.59/214,896.60
  6. Step 6: Final answer
    x = 109,028.17

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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.