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Finding the Fourth Proportional to 189,534.83, 283,073.41 and 171,729.91

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Solution

The fourth proportional to 189,534.83, 283,073.41 and 171,729.91 is: 256,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,534.83 : 283,073.41 = 171,729.91 : x
  2. Step 2: Convert to fraction form
    189,534.83/283,073.41 = 171,729.91/x
  3. Step 3: Cross multiply
    189,534.83x = 283,073.41 × 171,729.91
  4. Step 4: Simplify right side
    189,534.83x = 48,612,170,364.04
  5. Step 5: Solve for x
    x = 48,612,170,364.04/189,534.83
  6. Step 6: Final answer
    x = 256,481.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.