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Finding the Fourth Proportional to 199,379.60, 299,232.60 and 197,824.40

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Solution

The fourth proportional to 199,379.60, 299,232.60 and 197,824.40 is: 296,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,379.60 : 299,232.60 = 197,824.40 : x
  2. Step 2: Convert to fraction form
    199,379.60/299,232.60 = 197,824.40/x
  3. Step 3: Cross multiply
    199,379.60x = 299,232.60 × 197,824.40
  4. Step 4: Simplify right side
    199,379.60x = 59,195,509,555.44
  5. Step 5: Solve for x
    x = 59,195,509,555.44/199,379.60
  6. Step 6: Final answer
    x = 296,898.53

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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.