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Finding the Fourth Proportional to 212,097.22, 292,694.92 and 116,609.96

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Solution

The fourth proportional to 212,097.22, 292,694.92 and 116,609.96 is: 160,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,097.22 : 292,694.92 = 116,609.96 : x
  2. Step 2: Convert to fraction form
    212,097.22/292,694.92 = 116,609.96/x
  3. Step 3: Cross multiply
    212,097.22x = 292,694.92 × 116,609.96
  4. Step 4: Simplify right side
    212,097.22x = 34,131,143,353.62
  5. Step 5: Solve for x
    x = 34,131,143,353.62/212,097.22
  6. Step 6: Final answer
    x = 160,922.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.