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Finding the Fourth Proportional to 212,630.24, 319,143 and 107,524.64

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Solution

The fourth proportional to 212,630.24, 319,143 and 107,524.64 is: 161,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,630.24 : 319,143 = 107,524.64 : x
  2. Step 2: Convert to fraction form
    212,630.24/319,143 = 107,524.64/x
  3. Step 3: Cross multiply
    212,630.24x = 319,143 × 107,524.64
  4. Step 4: Simplify right side
    212,630.24x = 34,315,736,183.52
  5. Step 5: Solve for x
    x = 34,315,736,183.52/212,630.24
  6. Step 6: Final answer
    x = 161,386.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.