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Finding the Fourth Proportional to 212,914.64, 293,822.46 and 116,118.69

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Solution

The fourth proportional to 212,914.64, 293,822.46 and 116,118.69 is: 160,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,914.64 : 293,822.46 = 116,118.69 : x
  2. Step 2: Convert to fraction form
    212,914.64/293,822.46 = 116,118.69/x
  3. Step 3: Cross multiply
    212,914.64x = 293,822.46 × 116,118.69
  4. Step 4: Simplify right side
    212,914.64x = 34,118,279,147.78
  5. Step 5: Solve for x
    x = 34,118,279,147.78/212,914.64
  6. Step 6: Final answer
    x = 160,243.94

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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.