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Finding the Fourth Proportional to 161,094.42, 241,789.25 and 86,299.02

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Solution

The fourth proportional to 161,094.42, 241,789.25 and 86,299.02 is: 129,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,094.42 : 241,789.25 = 86,299.02 : x
  2. Step 2: Convert to fraction form
    161,094.42/241,789.25 = 86,299.02/x
  3. Step 3: Cross multiply
    161,094.42x = 241,789.25 × 86,299.02
  4. Step 4: Simplify right side
    161,094.42x = 20,866,175,537.28
  5. Step 5: Solve for x
    x = 20,866,175,537.28/161,094.42
  6. Step 6: Final answer
    x = 129,527.61

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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.