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Finding the Fourth Proportional to 194,317.82, 291,476.72 and 75,906.11

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Solution

The fourth proportional to 194,317.82, 291,476.72 and 75,906.11 is: 113,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,317.82 : 291,476.72 = 75,906.11 : x
  2. Step 2: Convert to fraction form
    194,317.82/291,476.72 = 75,906.11/x
  3. Step 3: Cross multiply
    194,317.82x = 291,476.72 × 75,906.11
  4. Step 4: Simplify right side
    194,317.82x = 22,124,864,889.22
  5. Step 5: Solve for x
    x = 22,124,864,889.22/194,317.82
  6. Step 6: Final answer
    x = 113,859.17

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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.