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Finding the Fourth Proportional to 204,951, 282,832.38 and 110,743

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Solution

The fourth proportional to 204,951, 282,832.38 and 110,743 is: 152,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,951 : 282,832.38 = 110,743 : x
  2. Step 2: Convert to fraction form
    204,951/282,832.38 = 110,743/x
  3. Step 3: Cross multiply
    204,951x = 282,832.38 × 110,743
  4. Step 4: Simplify right side
    204,951x = 31,321,706,258.34
  5. Step 5: Solve for x
    x = 31,321,706,258.34/204,951
  6. Step 6: Final answer
    x = 152,825.34

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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.