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Finding the Fourth Proportional to 161,462.16, 241,971.30 and 82,410.21

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Solution

The fourth proportional to 161,462.16, 241,971.30 and 82,410.21 is: 123,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,462.16 : 241,971.30 = 82,410.21 : x
  2. Step 2: Convert to fraction form
    161,462.16/241,971.30 = 82,410.21/x
  3. Step 3: Cross multiply
    161,462.16x = 241,971.30 × 82,410.21
  4. Step 4: Simplify right side
    161,462.16x = 19,940,905,646.97
  5. Step 5: Solve for x
    x = 19,940,905,646.97/161,462.16
  6. Step 6: Final answer
    x = 123,502.04

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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.