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Finding the Fourth Proportional to 230,164.07, 345,393.56 and 111,770.82

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Solution

The fourth proportional to 230,164.07, 345,393.56 and 111,770.82 is: 167,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,164.07 : 345,393.56 = 111,770.82 : x
  2. Step 2: Convert to fraction form
    230,164.07/345,393.56 = 111,770.82/x
  3. Step 3: Cross multiply
    230,164.07x = 345,393.56 × 111,770.82
  4. Step 4: Simplify right side
    230,164.07x = 38,604,921,423.92
  5. Step 5: Solve for x
    x = 38,604,921,423.92/230,164.07
  6. Step 6: Final answer
    x = 167,727.84

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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.