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Finding the Fourth Proportional to 229,138.10, 343,793.55 and 110,914.10

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Solution

The fourth proportional to 229,138.10, 343,793.55 and 110,914.10 is: 166,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,138.10 : 343,793.55 = 110,914.10 : x
  2. Step 2: Convert to fraction form
    229,138.10/343,793.55 = 110,914.10/x
  3. Step 3: Cross multiply
    229,138.10x = 343,793.55 × 110,914.10
  4. Step 4: Simplify right side
    229,138.10x = 38,131,552,184.06
  5. Step 5: Solve for x
    x = 38,131,552,184.06/229,138.10
  6. Step 6: Final answer
    x = 166,412.97

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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.