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Finding the Fourth Proportional to 212,718.80, 319,337.40 and 211,163.60

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Solution

The fourth proportional to 212,718.80, 319,337.40 and 211,163.60 is: 317,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,718.80 : 319,337.40 = 211,163.60 : x
  2. Step 2: Convert to fraction form
    212,718.80/319,337.40 = 211,163.60/x
  3. Step 3: Cross multiply
    212,718.80x = 319,337.40 × 211,163.60
  4. Step 4: Simplify right side
    212,718.80x = 67,432,434,998.64
  5. Step 5: Solve for x
    x = 67,432,434,998.64/212,718.80
  6. Step 6: Final answer
    x = 317,002.70

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Why These Related Problems?

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