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Finding the Fourth Proportional to 201,208.50, 277,667.73 and 116,331.03

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Solution

The fourth proportional to 201,208.50, 277,667.73 and 116,331.03 is: 160,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208.50 : 277,667.73 = 116,331.03 : x
  2. Step 2: Convert to fraction form
    201,208.50/277,667.73 = 116,331.03/x
  3. Step 3: Cross multiply
    201,208.50x = 277,667.73 × 116,331.03
  4. Step 4: Simplify right side
    201,208.50x = 32,301,373,028.66
  5. Step 5: Solve for x
    x = 32,301,373,028.66/201,208.50
  6. Step 6: Final answer
    x = 160,536.82

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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.