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Finding the Fourth Proportional to 232,245.30, 348,039.90 and 143,234.40

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Solution

The fourth proportional to 232,245.30, 348,039.90 and 143,234.40 is: 214,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,245.30 : 348,039.90 = 143,234.40 : x
  2. Step 2: Convert to fraction form
    232,245.30/348,039.90 = 143,234.40/x
  3. Step 3: Cross multiply
    232,245.30x = 348,039.90 × 143,234.40
  4. Step 4: Simplify right side
    232,245.30x = 49,851,286,252.56
  5. Step 5: Solve for x
    x = 49,851,286,252.56/232,245.30
  6. Step 6: Final answer
    x = 214,649.28

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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.