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Finding the Fourth Proportional to 229,489.29, 343,987.83 and 110,997.63

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Solution

The fourth proportional to 229,489.29, 343,987.83 and 110,997.63 is: 166,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,489.29 : 343,987.83 = 110,997.63 : x
  2. Step 2: Convert to fraction form
    229,489.29/343,987.83 = 110,997.63/x
  3. Step 3: Cross multiply
    229,489.29x = 343,987.83 × 110,997.63
  4. Step 4: Simplify right side
    229,489.29x = 38,181,833,878.84
  5. Step 5: Solve for x
    x = 38,181,833,878.84/229,489.29
  6. Step 6: Final answer
    x = 166,377.41

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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.