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Finding the Fourth Proportional to 277,830.96, 416,743.38 and 67,469.10

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Solution

The fourth proportional to 277,830.96, 416,743.38 and 67,469.10 is: 101,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,830.96 : 416,743.38 = 67,469.10 : x
  2. Step 2: Convert to fraction form
    277,830.96/416,743.38 = 67,469.10/x
  3. Step 3: Cross multiply
    277,830.96x = 416,743.38 × 67,469.10
  4. Step 4: Simplify right side
    277,830.96x = 28,117,300,779.56
  5. Step 5: Solve for x
    x = 28,117,300,779.56/277,830.96
  6. Step 6: Final answer
    x = 101,202.91

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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.