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Finding the Fourth Proportional to 277,603.98, 416,343.69 and 127,700.34

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Solution

The fourth proportional to 277,603.98, 416,343.69 and 127,700.34 is: 191,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,603.98 : 416,343.69 = 127,700.34 : x
  2. Step 2: Convert to fraction form
    277,603.98/416,343.69 = 127,700.34/x
  3. Step 3: Cross multiply
    277,603.98x = 416,343.69 × 127,700.34
  4. Step 4: Simplify right side
    277,603.98x = 53,167,230,769.85
  5. Step 5: Solve for x
    x = 53,167,230,769.85/277,603.98
  6. Step 6: Final answer
    x = 191,521.86

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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.