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Finding the Fourth Proportional to 212,872.86, 293,760.54 and 117,388.44

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Solution

The fourth proportional to 212,872.86, 293,760.54 and 117,388.44 is: 161,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,872.86 : 293,760.54 = 117,388.44 : x
  2. Step 2: Convert to fraction form
    212,872.86/293,760.54 = 117,388.44/x
  3. Step 3: Cross multiply
    212,872.86x = 293,760.54 × 117,388.44
  4. Step 4: Simplify right side
    212,872.86x = 34,484,091,524.16
  5. Step 5: Solve for x
    x = 34,484,091,524.16/212,872.86
  6. Step 6: Final answer
    x = 161,993.84

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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.