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Finding the Fourth Proportional to 230,245.32, 345,077.90 and 123,364.20

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Solution

The fourth proportional to 230,245.32, 345,077.90 and 123,364.20 is: 184,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,245.32 : 345,077.90 = 123,364.20 : x
  2. Step 2: Convert to fraction form
    230,245.32/345,077.90 = 123,364.20/x
  3. Step 3: Cross multiply
    230,245.32x = 345,077.90 × 123,364.20
  4. Step 4: Simplify right side
    230,245.32x = 42,570,259,071.18
  5. Step 5: Solve for x
    x = 42,570,259,071.18/230,245.32
  6. Step 6: Final answer
    x = 184,890.88

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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.