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Finding the Fourth Proportional to 172,892.13, 238,581.93 and 96,419.08

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Solution

The fourth proportional to 172,892.13, 238,581.93 and 96,419.08 is: 133,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,892.13 : 238,581.93 = 96,419.08 : x
  2. Step 2: Convert to fraction form
    172,892.13/238,581.93 = 96,419.08/x
  3. Step 3: Cross multiply
    172,892.13x = 238,581.93 × 96,419.08
  4. Step 4: Simplify right side
    172,892.13x = 23,003,850,195.22
  5. Step 5: Solve for x
    x = 23,003,850,195.22/172,892.13
  6. Step 6: Final answer
    x = 133,053.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.