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Finding the Fourth Proportional to 194,694.36, 291,923.28 and 76,223.76

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Solution

The fourth proportional to 194,694.36, 291,923.28 and 76,223.76 is: 114,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,694.36 : 291,923.28 = 76,223.76 : x
  2. Step 2: Convert to fraction form
    194,694.36/291,923.28 = 76,223.76/x
  3. Step 3: Cross multiply
    194,694.36x = 291,923.28 × 76,223.76
  4. Step 4: Simplify right side
    194,694.36x = 22,251,490,033.13
  5. Step 5: Solve for x
    x = 22,251,490,033.13/194,694.36
  6. Step 6: Final answer
    x = 114,289.34

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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.