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Finding the Fourth Proportional to 211,546.41, 317,021.25 and 116,819.25

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Solution

The fourth proportional to 211,546.41, 317,021.25 and 116,819.25 is: 175,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,546.41 : 317,021.25 = 116,819.25 : x
  2. Step 2: Convert to fraction form
    211,546.41/317,021.25 = 116,819.25/x
  3. Step 3: Cross multiply
    211,546.41x = 317,021.25 × 116,819.25
  4. Step 4: Simplify right side
    211,546.41x = 37,034,184,659.06
  5. Step 5: Solve for x
    x = 37,034,184,659.06/211,546.41
  6. Step 6: Final answer
    x = 175,064.11

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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.