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Finding the Fourth Proportional to 194,812.80, 292,222.08 and 54,562.56

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Solution

The fourth proportional to 194,812.80, 292,222.08 and 54,562.56 is: 81,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,812.80 : 292,222.08 = 54,562.56 : x
  2. Step 2: Convert to fraction form
    194,812.80/292,222.08 = 54,562.56/x
  3. Step 3: Cross multiply
    194,812.80x = 292,222.08 × 54,562.56
  4. Step 4: Simplify right side
    194,812.80x = 15,944,384,773.32
  5. Step 5: Solve for x
    x = 15,944,384,773.32/194,812.80
  6. Step 6: Final answer
    x = 81,844.65

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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.