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Finding the Fourth Proportional to 201,244.38, 277,656.62 and 120,642.50

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Solution

The fourth proportional to 201,244.38, 277,656.62 and 120,642.50 is: 166,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,244.38 : 277,656.62 = 120,642.50 : x
  2. Step 2: Convert to fraction form
    201,244.38/277,656.62 = 120,642.50/x
  3. Step 3: Cross multiply
    201,244.38x = 277,656.62 × 120,642.50
  4. Step 4: Simplify right side
    201,244.38x = 33,497,186,786.85
  5. Step 5: Solve for x
    x = 33,497,186,786.85/201,244.38
  6. Step 6: Final answer
    x = 166,450.30

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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.