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Finding the Fourth Proportional to 189,196.40, 283,650.60 and 95,769.20

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Solution

The fourth proportional to 189,196.40, 283,650.60 and 95,769.20 is: 143,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,196.40 : 283,650.60 = 95,769.20 : x
  2. Step 2: Convert to fraction form
    189,196.40/283,650.60 = 95,769.20/x
  3. Step 3: Cross multiply
    189,196.40x = 283,650.60 × 95,769.20
  4. Step 4: Simplify right side
    189,196.40x = 27,164,991,041.52
  5. Step 5: Solve for x
    x = 27,164,991,041.52/189,196.40
  6. Step 6: Final answer
    x = 143,580.91

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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.