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Finding the Fourth Proportional to 194,634, 291,912.10 and 54,393.84

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Solution

The fourth proportional to 194,634, 291,912.10 and 54,393.84 is: 81,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,634 : 291,912.10 = 54,393.84 : x
  2. Step 2: Convert to fraction form
    194,634/291,912.10 = 54,393.84/x
  3. Step 3: Cross multiply
    194,634x = 291,912.10 × 54,393.84
  4. Step 4: Simplify right side
    194,634x = 15,878,220,061.46
  5. Step 5: Solve for x
    x = 15,878,220,061.46/194,634
  6. Step 6: Final answer
    x = 81,579.89

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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.