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Finding the Fourth Proportional to 189,352.53, 283,869.77 and 82,655.30

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Solution

The fourth proportional to 189,352.53, 283,869.77 and 82,655.30 is: 123,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,352.53 : 283,869.77 = 82,655.30 : x
  2. Step 2: Convert to fraction form
    189,352.53/283,869.77 = 82,655.30/x
  3. Step 3: Cross multiply
    189,352.53x = 283,869.77 × 82,655.30
  4. Step 4: Simplify right side
    189,352.53x = 23,463,341,983.91
  5. Step 5: Solve for x
    x = 23,463,341,983.91/189,352.53
  6. Step 6: Final answer
    x = 123,913.54

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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.