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Finding the Fourth Proportional to 189,195.28, 283,784.70 and 47,037.60

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Solution

The fourth proportional to 189,195.28, 283,784.70 and 47,037.60 is: 70,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,195.28 : 283,784.70 = 47,037.60 : x
  2. Step 2: Convert to fraction form
    189,195.28/283,784.70 = 47,037.60/x
  3. Step 3: Cross multiply
    189,195.28x = 283,784.70 × 47,037.60
  4. Step 4: Simplify right side
    189,195.28x = 13,348,551,204.72
  5. Step 5: Solve for x
    x = 13,348,551,204.72/189,195.28
  6. Step 6: Final answer
    x = 70,554.36

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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.