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Finding the Fourth Proportional to 201,094.42, 277,489.29 and 120,519.94

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Solution

The fourth proportional to 201,094.42, 277,489.29 and 120,519.94 is: 166,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,094.42 : 277,489.29 = 120,519.94 : x
  2. Step 2: Convert to fraction form
    201,094.42/277,489.29 = 120,519.94/x
  3. Step 3: Cross multiply
    201,094.42x = 277,489.29 × 120,519.94
  4. Step 4: Simplify right side
    201,094.42x = 33,442,992,581.44
  5. Step 5: Solve for x
    x = 33,442,992,581.44/201,094.42
  6. Step 6: Final answer
    x = 166,304.93

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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.