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Finding the Fourth Proportional to 277,103.52, 415,655.36 and 66,741.36

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Solution

The fourth proportional to 277,103.52, 415,655.36 and 66,741.36 is: 100,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,103.52 : 415,655.36 = 66,741.36 : x
  2. Step 2: Convert to fraction form
    277,103.52/415,655.36 = 66,741.36/x
  3. Step 3: Cross multiply
    277,103.52x = 415,655.36 × 66,741.36
  4. Step 4: Simplify right side
    277,103.52x = 27,741,404,017.69
  5. Step 5: Solve for x
    x = 27,741,404,017.69/277,103.52
  6. Step 6: Final answer
    x = 100,112.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.