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Finding the Fourth Proportional to 199,006.32, 298,653.77 and 149,220.48

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Solution

The fourth proportional to 199,006.32, 298,653.77 and 149,220.48 is: 223,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,006.32 : 298,653.77 = 149,220.48 : x
  2. Step 2: Convert to fraction form
    199,006.32/298,653.77 = 149,220.48/x
  3. Step 3: Cross multiply
    199,006.32x = 298,653.77 × 149,220.48
  4. Step 4: Simplify right side
    199,006.32x = 44,565,258,913.21
  5. Step 5: Solve for x
    x = 44,565,258,913.21/199,006.32
  6. Step 6: Final answer
    x = 223,938.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.