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Finding the Fourth Proportional to 313,193.55, 469,788.50 and 113,467.29

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Solution

The fourth proportional to 313,193.55, 469,788.50 and 113,467.29 is: 170,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,193.55 : 469,788.50 = 113,467.29 : x
  2. Step 2: Convert to fraction form
    313,193.55/469,788.50 = 113,467.29/x
  3. Step 3: Cross multiply
    313,193.55x = 469,788.50 × 113,467.29
  4. Step 4: Simplify right side
    313,193.55x = 53,305,627,968.17
  5. Step 5: Solve for x
    x = 53,305,627,968.17/313,193.55
  6. Step 6: Final answer
    x = 170,200.27

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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.