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Finding the Fourth Proportional to 189,062, 283,639.08 and 57,734

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Solution

The fourth proportional to 189,062, 283,639.08 and 57,734 is: 86,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,062 : 283,639.08 = 57,734 : x
  2. Step 2: Convert to fraction form
    189,062/283,639.08 = 57,734/x
  3. Step 3: Cross multiply
    189,062x = 283,639.08 × 57,734
  4. Step 4: Simplify right side
    189,062x = 16,375,618,644.72
  5. Step 5: Solve for x
    x = 16,375,618,644.72/189,062
  6. Step 6: Final answer
    x = 86,615.07

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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.