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Finding the Fourth Proportional to 230,308.34, 345,200.44 and 140,152.22

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Solution

The fourth proportional to 230,308.34, 345,200.44 and 140,152.22 is: 210,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,308.34 : 345,200.44 = 140,152.22 : x
  2. Step 2: Convert to fraction form
    230,308.34/345,200.44 = 140,152.22/x
  3. Step 3: Cross multiply
    230,308.34x = 345,200.44 × 140,152.22
  4. Step 4: Simplify right side
    230,308.34x = 48,380,608,010.98
  5. Step 5: Solve for x
    x = 48,380,608,010.98/230,308.34
  6. Step 6: Final answer
    x = 210,068.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.