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Finding the Fourth Proportional to 212,846.67, 293,741.64 and 117,353.21

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Solution

The fourth proportional to 212,846.67, 293,741.64 and 117,353.21 is: 161,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,846.67 : 293,741.64 = 117,353.21 : x
  2. Step 2: Convert to fraction form
    212,846.67/293,741.64 = 117,353.21/x
  3. Step 3: Cross multiply
    212,846.67x = 293,741.64 × 117,353.21
  4. Step 4: Simplify right side
    212,846.67x = 34,471,522,895.96
  5. Step 5: Solve for x
    x = 34,471,522,895.96/212,846.67
  6. Step 6: Final answer
    x = 161,954.72

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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.