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Finding the Fourth Proportional to 277,556.72, 416,057.40 and 127,905.08

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Solution

The fourth proportional to 277,556.72, 416,057.40 and 127,905.08 is: 191,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,556.72 : 416,057.40 = 127,905.08 : x
  2. Step 2: Convert to fraction form
    277,556.72/416,057.40 = 127,905.08/x
  3. Step 3: Cross multiply
    277,556.72x = 416,057.40 × 127,905.08
  4. Step 4: Simplify right side
    277,556.72x = 53,215,855,031.59
  5. Step 5: Solve for x
    x = 53,215,855,031.59/277,556.72
  6. Step 6: Final answer
    x = 191,729.66

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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.