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Finding the Fourth Proportional to 213,008.70, 319,241.70 and 113,216.70

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Solution

The fourth proportional to 213,008.70, 319,241.70 and 113,216.70 is: 169,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,008.70 : 319,241.70 = 113,216.70 : x
  2. Step 2: Convert to fraction form
    213,008.70/319,241.70 = 113,216.70/x
  3. Step 3: Cross multiply
    213,008.70x = 319,241.70 × 113,216.70
  4. Step 4: Simplify right side
    213,008.70x = 36,143,491,776.39
  5. Step 5: Solve for x
    x = 36,143,491,776.39/213,008.70
  6. Step 6: Final answer
    x = 169,680.82

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1.5x scale

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.