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Finding the Fourth Proportional to 194,994.56, 292,509.69 and 54,752.24

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Solution

The fourth proportional to 194,994.56, 292,509.69 and 54,752.24 is: 82,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,994.56 : 292,509.69 = 54,752.24 : x
  2. Step 2: Convert to fraction form
    194,994.56/292,509.69 = 54,752.24/x
  3. Step 3: Cross multiply
    194,994.56x = 292,509.69 × 54,752.24
  4. Step 4: Simplify right side
    194,994.56x = 16,015,560,749.21
  5. Step 5: Solve for x
    x = 16,015,560,749.21/194,994.56
  6. Step 6: Final answer
    x = 82,133.37

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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.