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Finding the Fourth Proportional to 194,940.80, 292,411.20 and 54,723.20

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Solution

The fourth proportional to 194,940.80, 292,411.20 and 54,723.20 is: 82,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,940.80 : 292,411.20 = 54,723.20 : x
  2. Step 2: Convert to fraction form
    194,940.80/292,411.20 = 54,723.20/x
  3. Step 3: Cross multiply
    194,940.80x = 292,411.20 × 54,723.20
  4. Step 4: Simplify right side
    194,940.80x = 16,001,676,579.84
  5. Step 5: Solve for x
    x = 16,001,676,579.84/194,940.80
  6. Step 6: Final answer
    x = 82,084.80

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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.