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Finding the Fourth Proportional to 189,196.90, 283,796.39 and 56,078.33

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Solution

The fourth proportional to 189,196.90, 283,796.39 and 56,078.33 is: 84,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,196.90 : 283,796.39 = 56,078.33 : x
  2. Step 2: Convert to fraction form
    189,196.90/283,796.39 = 56,078.33/x
  3. Step 3: Cross multiply
    189,196.90x = 283,796.39 × 56,078.33
  4. Step 4: Simplify right side
    189,196.90x = 15,914,826,332.44
  5. Step 5: Solve for x
    x = 15,914,826,332.44/189,196.90
  6. Step 6: Final answer
    x = 84,117.80

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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.