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Finding the Fourth Proportional to 277,608.90, 383,100.42 and 150,284.51

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Solution

The fourth proportional to 277,608.90, 383,100.42 and 150,284.51 is: 207,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,608.90 : 383,100.42 = 150,284.51 : x
  2. Step 2: Convert to fraction form
    277,608.90/383,100.42 = 150,284.51/x
  3. Step 3: Cross multiply
    277,608.90x = 383,100.42 × 150,284.51
  4. Step 4: Simplify right side
    277,608.90x = 57,574,056,984.99
  5. Step 5: Solve for x
    x = 57,574,056,984.99/277,608.90
  6. Step 6: Final answer
    x = 207,392.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.