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Finding the Fourth Proportional to 199,406.40, 298,380.60 and 146,918.40

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Solution

The fourth proportional to 199,406.40, 298,380.60 and 146,918.40 is: 219,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,406.40 : 298,380.60 = 146,918.40 : x
  2. Step 2: Convert to fraction form
    199,406.40/298,380.60 = 146,918.40/x
  3. Step 3: Cross multiply
    199,406.40x = 298,380.60 × 146,918.40
  4. Step 4: Simplify right side
    199,406.40x = 43,837,600,343.04
  5. Step 5: Solve for x
    x = 43,837,600,343.04/199,406.40
  6. Step 6: Final answer
    x = 219,840.49

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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.