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Finding the Fourth Proportional to 228,601, 315,396.48 and 148,090.24

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Solution

The fourth proportional to 228,601, 315,396.48 and 148,090.24 is: 204,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,601 : 315,396.48 = 148,090.24 : x
  2. Step 2: Convert to fraction form
    228,601/315,396.48 = 148,090.24/x
  3. Step 3: Cross multiply
    228,601x = 315,396.48 × 148,090.24
  4. Step 4: Simplify right side
    228,601x = 46,707,140,418.36
  5. Step 5: Solve for x
    x = 46,707,140,418.36/228,601
  6. Step 6: Final answer
    x = 204,317.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.