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Finding the Fourth Proportional to 234,705.92, 324,071.56 and 144,185.92

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Solution

The fourth proportional to 234,705.92, 324,071.56 and 144,185.92 is: 199,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,705.92 : 324,071.56 = 144,185.92 : x
  2. Step 2: Convert to fraction form
    234,705.92/324,071.56 = 144,185.92/x
  3. Step 3: Cross multiply
    234,705.92x = 324,071.56 × 144,185.92
  4. Step 4: Simplify right side
    234,705.92x = 46,726,556,024.44
  5. Step 5: Solve for x
    x = 46,726,556,024.44/234,705.92
  6. Step 6: Final answer
    x = 199,085.55

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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.