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Finding the Fourth Proportional to 194,467.80, 291,264.30 and 115,735.80

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Solution

The fourth proportional to 194,467.80, 291,264.30 and 115,735.80 is: 173,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,467.80 : 291,264.30 = 115,735.80 : x
  2. Step 2: Convert to fraction form
    194,467.80/291,264.30 = 115,735.80/x
  3. Step 3: Cross multiply
    194,467.80x = 291,264.30 × 115,735.80
  4. Step 4: Simplify right side
    194,467.80x = 33,709,706,771.94
  5. Step 5: Solve for x
    x = 33,709,706,771.94/194,467.80
  6. Step 6: Final answer
    x = 173,343.39

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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.