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Finding the Fourth Proportional to 161,172.19, 241,796.10 and 158,494.48

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Solution

The fourth proportional to 161,172.19, 241,796.10 and 158,494.48 is: 237,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,172.19 : 241,796.10 = 158,494.48 : x
  2. Step 2: Convert to fraction form
    161,172.19/241,796.10 = 158,494.48/x
  3. Step 3: Cross multiply
    161,172.19x = 241,796.10 × 158,494.48
  4. Step 4: Simplify right side
    161,172.19x = 38,323,346,163.37
  5. Step 5: Solve for x
    x = 38,323,346,163.37/161,172.19
  6. Step 6: Final answer
    x = 237,778.91

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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.