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Finding the Fourth Proportional to 277,825.92, 416,733.12 and 67,464.96

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Solution

The fourth proportional to 277,825.92, 416,733.12 and 67,464.96 is: 101,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,825.92 : 416,733.12 = 67,464.96 : x
  2. Step 2: Convert to fraction form
    277,825.92/416,733.12 = 67,464.96/x
  3. Step 3: Cross multiply
    277,825.92x = 416,733.12 × 67,464.96
  4. Step 4: Simplify right side
    277,825.92x = 28,114,883,271.48
  5. Step 5: Solve for x
    x = 28,114,883,271.48/277,825.92
  6. Step 6: Final answer
    x = 101,196.04

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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.