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Finding the Fourth Proportional to 159,876.68, 239,673.89 and 65,186.06

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Solution

The fourth proportional to 159,876.68, 239,673.89 and 65,186.06 is: 97,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,876.68 : 239,673.89 = 65,186.06 : x
  2. Step 2: Convert to fraction form
    159,876.68/239,673.89 = 65,186.06/x
  3. Step 3: Cross multiply
    159,876.68x = 239,673.89 × 65,186.06
  4. Step 4: Simplify right side
    159,876.68x = 15,623,395,049.67
  5. Step 5: Solve for x
    x = 15,623,395,049.67/159,876.68
  6. Step 6: Final answer
    x = 97,721.54

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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.