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Finding the Fourth Proportional to 159,610.51, 239,418.13 and 47,302.12

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Solution

The fourth proportional to 159,610.51, 239,418.13 and 47,302.12 is: 70,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,610.51 : 239,418.13 = 47,302.12 : x
  2. Step 2: Convert to fraction form
    159,610.51/239,418.13 = 47,302.12/x
  3. Step 3: Cross multiply
    159,610.51x = 239,418.13 × 47,302.12
  4. Step 4: Simplify right side
    159,610.51x = 11,324,984,398.64
  5. Step 5: Solve for x
    x = 11,324,984,398.64/159,610.51
  6. Step 6: Final answer
    x = 70,953.88

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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.