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Finding the Fourth Proportional to 277,852.02, 416,778.02 and 67,488.54

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Solution

The fourth proportional to 277,852.02, 416,778.02 and 67,488.54 is: 101,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,852.02 : 416,778.02 = 67,488.54 : x
  2. Step 2: Convert to fraction form
    277,852.02/416,778.02 = 67,488.54/x
  3. Step 3: Cross multiply
    277,852.02x = 416,778.02 × 67,488.54
  4. Step 4: Simplify right side
    277,852.02x = 28,127,740,073.89
  5. Step 5: Solve for x
    x = 28,127,740,073.89/277,852.02
  6. Step 6: Final answer
    x = 101,232.81

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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.