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Finding the Fourth Proportional to 277,709.12, 416,477.60 and 100,193.04

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Solution

The fourth proportional to 277,709.12, 416,477.60 and 100,193.04 is: 150,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,709.12 : 416,477.60 = 100,193.04 : x
  2. Step 2: Convert to fraction form
    277,709.12/416,477.60 = 100,193.04/x
  3. Step 3: Cross multiply
    277,709.12x = 416,477.60 × 100,193.04
  4. Step 4: Simplify right side
    277,709.12x = 41,728,156,835.90
  5. Step 5: Solve for x
    x = 41,728,156,835.90/277,709.12
  6. Step 6: Final answer
    x = 150,258.50

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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.