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Finding the Fourth Proportional to 194,193.72, 291,333.83 and 75,866.09

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Solution

The fourth proportional to 194,193.72, 291,333.83 and 75,866.09 is: 113,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,193.72 : 291,333.83 = 75,866.09 : x
  2. Step 2: Convert to fraction form
    194,193.72/291,333.83 = 75,866.09/x
  3. Step 3: Cross multiply
    194,193.72x = 291,333.83 × 75,866.09
  4. Step 4: Simplify right side
    194,193.72x = 22,102,356,730.83
  5. Step 5: Solve for x
    x = 22,102,356,730.83/194,193.72
  6. Step 6: Final answer
    x = 113,816.02

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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.