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Finding the Fourth Proportional to 159,817.32, 239,765.01 and 53,201.07

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Solution

The fourth proportional to 159,817.32, 239,765.01 and 53,201.07 is: 79,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,817.32 : 239,765.01 = 53,201.07 : x
  2. Step 2: Convert to fraction form
    159,817.32/239,765.01 = 53,201.07/x
  3. Step 3: Cross multiply
    159,817.32x = 239,765.01 × 53,201.07
  4. Step 4: Simplify right side
    159,817.32x = 12,755,755,080.56
  5. Step 5: Solve for x
    x = 12,755,755,080.56/159,817.32
  6. Step 6: Final answer
    x = 79,814.60

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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.