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Finding the Fourth Proportional to 212,847.75, 293,731.92 and 117,357.86

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Solution

The fourth proportional to 212,847.75, 293,731.92 and 117,357.86 is: 161,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,847.75 : 293,731.92 = 117,357.86 : x
  2. Step 2: Convert to fraction form
    212,847.75/293,731.92 = 117,357.86/x
  3. Step 3: Cross multiply
    212,847.75x = 293,731.92 × 117,357.86
  4. Step 4: Simplify right side
    212,847.75x = 34,471,750,279.22
  5. Step 5: Solve for x
    x = 34,471,750,279.22/212,847.75
  6. Step 6: Final answer
    x = 161,954.97

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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.