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Finding the Fourth Proportional to 212,644.90, 293,320.20 and 126,546.16

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Solution

The fourth proportional to 212,644.90, 293,320.20 and 126,546.16 is: 174,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,644.90 : 293,320.20 = 126,546.16 : x
  2. Step 2: Convert to fraction form
    212,644.90/293,320.20 = 126,546.16/x
  3. Step 3: Cross multiply
    212,644.90x = 293,320.20 × 126,546.16
  4. Step 4: Simplify right side
    212,644.90x = 37,118,544,960.43
  5. Step 5: Solve for x
    x = 37,118,544,960.43/212,644.90
  6. Step 6: Final answer
    x = 174,556.48

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