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Finding the Fourth Proportional to 181,896.96, 272,843.52 and 71,088

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Solution

The fourth proportional to 181,896.96, 272,843.52 and 71,088 is: 106,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,896.96 : 272,843.52 = 71,088 : x
  2. Step 2: Convert to fraction form
    181,896.96/272,843.52 = 71,088/x
  3. Step 3: Cross multiply
    181,896.96x = 272,843.52 × 71,088
  4. Step 4: Simplify right side
    181,896.96x = 19,395,900,149.76
  5. Step 5: Solve for x
    x = 19,395,900,149.76/181,896.96
  6. Step 6: Final answer
    x = 106,631.25

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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.