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Finding the Fourth Proportional to 277,192.16, 415,745.04 and 90,202.40

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Solution

The fourth proportional to 277,192.16, 415,745.04 and 90,202.40 is: 135,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,192.16 : 415,745.04 = 90,202.40 : x
  2. Step 2: Convert to fraction form
    277,192.16/415,745.04 = 90,202.40/x
  3. Step 3: Cross multiply
    277,192.16x = 415,745.04 × 90,202.40
  4. Step 4: Simplify right side
    277,192.16x = 37,501,200,396.10
  5. Step 5: Solve for x
    x = 37,501,200,396.10/277,192.16
  6. Step 6: Final answer
    x = 135,289.54

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1.5x scale

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.