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Finding the Fourth Proportional to 226,234, 312,230.46 and 130,741.48

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Solution

The fourth proportional to 226,234, 312,230.46 and 130,741.48 is: 180,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,234 : 312,230.46 = 130,741.48 : x
  2. Step 2: Convert to fraction form
    226,234/312,230.46 = 130,741.48/x
  3. Step 3: Cross multiply
    226,234x = 312,230.46 × 130,741.48
  4. Step 4: Simplify right side
    226,234x = 40,821,472,441.48
  5. Step 5: Solve for x
    x = 40,821,472,441.48/226,234
  6. Step 6: Final answer
    x = 180,439.16

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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.