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Finding the Fourth Proportional to 212,697.72, 293,523.84 and 117,202.44

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Solution

The fourth proportional to 212,697.72, 293,523.84 and 117,202.44 is: 161,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,697.72 : 293,523.84 = 117,202.44 : x
  2. Step 2: Convert to fraction form
    212,697.72/293,523.84 = 117,202.44/x
  3. Step 3: Cross multiply
    212,697.72x = 293,523.84 × 117,202.44
  4. Step 4: Simplify right side
    212,697.72x = 34,401,710,246.17
  5. Step 5: Solve for x
    x = 34,401,710,246.17/212,697.72
  6. Step 6: Final answer
    x = 161,739.91

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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.