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Finding the Fourth Proportional to 277,852.51, 416,778.77 and 67,489.03

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Solution

The fourth proportional to 277,852.51, 416,778.77 and 67,489.03 is: 101,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,852.51 : 416,778.77 = 67,489.03 : x
  2. Step 2: Convert to fraction form
    277,852.51/416,778.77 = 67,489.03/x
  3. Step 3: Cross multiply
    277,852.51x = 416,778.77 × 67,489.03
  4. Step 4: Simplify right side
    277,852.51x = 28,127,994,911.89
  5. Step 5: Solve for x
    x = 28,127,994,911.89/277,852.51
  6. Step 6: Final answer
    x = 101,233.55

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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.