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Finding the Fourth Proportional to 201,100.25, 277,450.82 and 113,873.48

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Solution

The fourth proportional to 201,100.25, 277,450.82 and 113,873.48 is: 157,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,100.25 : 277,450.82 = 113,873.48 : x
  2. Step 2: Convert to fraction form
    201,100.25/277,450.82 = 113,873.48/x
  3. Step 3: Cross multiply
    201,100.25x = 277,450.82 × 113,873.48
  4. Step 4: Simplify right side
    201,100.25x = 31,594,290,526.51
  5. Step 5: Solve for x
    x = 31,594,290,526.51/201,100.25
  6. Step 6: Final answer
    x = 157,107.16

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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.