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Finding the Fourth Proportional to 211,744.60, 317,616.90 and 106,768.60

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Solution

The fourth proportional to 211,744.60, 317,616.90 and 106,768.60 is: 160,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,744.60 : 317,616.90 = 106,768.60 : x
  2. Step 2: Convert to fraction form
    211,744.60/317,616.90 = 106,768.60/x
  3. Step 3: Cross multiply
    211,744.60x = 317,616.90 × 106,768.60
  4. Step 4: Simplify right side
    211,744.60x = 33,911,511,749.34
  5. Step 5: Solve for x
    x = 33,911,511,749.34/211,744.60
  6. Step 6: Final answer
    x = 160,152.90

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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.