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Finding the Fourth Proportional to 199,653.87, 298,571.15 and 149,088.40

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Solution

The fourth proportional to 199,653.87, 298,571.15 and 149,088.40 is: 222,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,653.87 : 298,571.15 = 149,088.40 : x
  2. Step 2: Convert to fraction form
    199,653.87/298,571.15 = 149,088.40/x
  3. Step 3: Cross multiply
    199,653.87x = 298,571.15 × 149,088.40
  4. Step 4: Simplify right side
    199,653.87x = 44,513,495,039.66
  5. Step 5: Solve for x
    x = 44,513,495,039.66/199,653.87
  6. Step 6: Final answer
    x = 222,953.33

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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.