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Finding the Fourth Proportional to 228,993.12, 315,945.90 and 148,424.04

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Solution

The fourth proportional to 228,993.12, 315,945.90 and 148,424.04 is: 204,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,993.12 : 315,945.90 = 148,424.04 : x
  2. Step 2: Convert to fraction form
    228,993.12/315,945.90 = 148,424.04/x
  3. Step 3: Cross multiply
    228,993.12x = 315,945.90 × 148,424.04
  4. Step 4: Simplify right side
    228,993.12x = 46,893,966,899.44
  5. Step 5: Solve for x
    x = 46,893,966,899.44/228,993.12
  6. Step 6: Final answer
    x = 204,783.30

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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.