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Finding the Fourth Proportional to 226,286.70, 312,240.98 and 130,774.98

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Solution

The fourth proportional to 226,286.70, 312,240.98 and 130,774.98 is: 180,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,286.70 : 312,240.98 = 130,774.98 : x
  2. Step 2: Convert to fraction form
    226,286.70/312,240.98 = 130,774.98/x
  3. Step 3: Cross multiply
    226,286.70x = 312,240.98 × 130,774.98
  4. Step 4: Simplify right side
    226,286.70x = 40,833,307,914.68
  5. Step 5: Solve for x
    x = 40,833,307,914.68/226,286.70
  6. Step 6: Final answer
    x = 180,449.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.