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Finding the Fourth Proportional to 194,894.28, 292,359.96 and 54,652.48

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Solution

The fourth proportional to 194,894.28, 292,359.96 and 54,652.48 is: 81,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,894.28 : 292,359.96 = 54,652.48 : x
  2. Step 2: Convert to fraction form
    194,894.28/292,359.96 = 54,652.48/x
  3. Step 3: Cross multiply
    194,894.28x = 292,359.96 × 54,652.48
  4. Step 4: Simplify right side
    194,894.28x = 15,978,196,866.70
  5. Step 5: Solve for x
    x = 15,978,196,866.70/194,894.28
  6. Step 6: Final answer
    x = 81,983.92

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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.