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Finding the Fourth Proportional to 277,192.96, 415,725.87 and 77,527.46

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Solution

The fourth proportional to 277,192.96, 415,725.87 and 77,527.46 is: 116,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,192.96 : 415,725.87 = 77,527.46 : x
  2. Step 2: Convert to fraction form
    277,192.96/415,725.87 = 77,527.46/x
  3. Step 3: Cross multiply
    277,192.96x = 415,725.87 × 77,527.46
  4. Step 4: Simplify right side
    277,192.96x = 32,230,170,757.39
  5. Step 5: Solve for x
    x = 32,230,170,757.39/277,192.96
  6. Step 6: Final answer
    x = 116,273.41

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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.