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Finding the Fourth Proportional to 277,833.15, 416,502.18 and 100,300.64

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Solution

The fourth proportional to 277,833.15, 416,502.18 and 100,300.64 is: 150,361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,833.15 : 416,502.18 = 100,300.64 : x
  2. Step 2: Convert to fraction form
    277,833.15/416,502.18 = 100,300.64/x
  3. Step 3: Cross multiply
    277,833.15x = 416,502.18 × 100,300.64
  4. Step 4: Simplify right side
    277,833.15x = 41,775,433,132.88
  5. Step 5: Solve for x
    x = 41,775,433,132.88/277,833.15
  6. Step 6: Final answer
    x = 150,361.59

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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.