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Finding the Fourth Proportional to 234,041.42, 322,976.19 and 126,611.20

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Solution

The fourth proportional to 234,041.42, 322,976.19 and 126,611.20 is: 174,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,041.42 : 322,976.19 = 126,611.20 : x
  2. Step 2: Convert to fraction form
    234,041.42/322,976.19 = 126,611.20/x
  3. Step 3: Cross multiply
    234,041.42x = 322,976.19 × 126,611.20
  4. Step 4: Simplify right side
    234,041.42x = 40,892,402,987.33
  5. Step 5: Solve for x
    x = 40,892,402,987.33/234,041.42
  6. Step 6: Final answer
    x = 174,722.93

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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.