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Finding the Fourth Proportional to 159,670.51, 239,234.65 and 96,357.60

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Solution

The fourth proportional to 159,670.51, 239,234.65 and 96,357.60 is: 144,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,670.51 : 239,234.65 = 96,357.60 : x
  2. Step 2: Convert to fraction form
    159,670.51/239,234.65 = 96,357.60/x
  3. Step 3: Cross multiply
    159,670.51x = 239,234.65 × 96,357.60
  4. Step 4: Simplify right side
    159,670.51x = 23,052,076,469.95
  5. Step 5: Solve for x
    x = 23,052,076,469.95/159,670.51
  6. Step 6: Final answer
    x = 144,372.79

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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.