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Finding the Fourth Proportional to 143,234.37, 214,874.78 and 48,470.40

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Solution

The fourth proportional to 143,234.37, 214,874.78 and 48,470.40 is: 72,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,234.37 : 214,874.78 = 48,470.40 : x
  2. Step 2: Convert to fraction form
    143,234.37/214,874.78 = 48,470.40/x
  3. Step 3: Cross multiply
    143,234.37x = 214,874.78 × 48,470.40
  4. Step 4: Simplify right side
    143,234.37x = 10,415,066,294.16
  5. Step 5: Solve for x
    x = 10,415,066,294.16/143,234.37
  6. Step 6: Final answer
    x = 72,713.46

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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.