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Finding the Fourth Proportional to 212,822.70, 319,234.05 and 202,454.70

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Solution

The fourth proportional to 212,822.70, 319,234.05 and 202,454.70 is: 303,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,822.70 : 319,234.05 = 202,454.70 : x
  2. Step 2: Convert to fraction form
    212,822.70/319,234.05 = 202,454.70/x
  3. Step 3: Cross multiply
    212,822.70x = 319,234.05 × 202,454.70
  4. Step 4: Simplify right side
    212,822.70x = 64,630,433,822.54
  5. Step 5: Solve for x
    x = 64,630,433,822.54/212,822.70
  6. Step 6: Final answer
    x = 303,682.05

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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.