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Finding the Fourth Proportional to 194,127.98, 291,193.60 and 53,897.54

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Solution

The fourth proportional to 194,127.98, 291,193.60 and 53,897.54 is: 80,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,127.98 : 291,193.60 = 53,897.54 : x
  2. Step 2: Convert to fraction form
    194,127.98/291,193.60 = 53,897.54/x
  3. Step 3: Cross multiply
    194,127.98x = 291,193.60 × 53,897.54
  4. Step 4: Simplify right side
    194,127.98x = 15,694,618,703.74
  5. Step 5: Solve for x
    x = 15,694,618,703.74/194,127.98
  6. Step 6: Final answer
    x = 80,846.76

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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.