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Finding the Fourth Proportional to 189,602.72, 284,308.80 and 63,198.70

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Solution

The fourth proportional to 189,602.72, 284,308.80 and 63,198.70 is: 94,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,602.72 : 284,308.80 = 63,198.70 : x
  2. Step 2: Convert to fraction form
    189,602.72/284,308.80 = 63,198.70/x
  3. Step 3: Cross multiply
    189,602.72x = 284,308.80 × 63,198.70
  4. Step 4: Simplify right side
    189,602.72x = 17,967,946,558.56
  5. Step 5: Solve for x
    x = 17,967,946,558.56/189,602.72
  6. Step 6: Final answer
    x = 94,766.29

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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.