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Finding the Fourth Proportional to 201,261.45, 277,984.38 and 146,727.25

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Solution

The fourth proportional to 201,261.45, 277,984.38 and 146,727.25 is: 202,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,261.45 : 277,984.38 = 146,727.25 : x
  2. Step 2: Convert to fraction form
    201,261.45/277,984.38 = 146,727.25/x
  3. Step 3: Cross multiply
    201,261.45x = 277,984.38 × 146,727.25
  4. Step 4: Simplify right side
    201,261.45x = 40,787,883,620.36
  5. Step 5: Solve for x
    x = 40,787,883,620.36/201,261.45
  6. Step 6: Final answer
    x = 202,661.18

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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.