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Finding the Fourth Proportional to 197,204.40, 295,806.60 and 84,938.40

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Solution

The fourth proportional to 197,204.40, 295,806.60 and 84,938.40 is: 127,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,204.40 : 295,806.60 = 84,938.40 : x
  2. Step 2: Convert to fraction form
    197,204.40/295,806.60 = 84,938.40/x
  3. Step 3: Cross multiply
    197,204.40x = 295,806.60 × 84,938.40
  4. Step 4: Simplify right side
    197,204.40x = 25,125,339,313.44
  5. Step 5: Solve for x
    x = 25,125,339,313.44/197,204.40
  6. Step 6: Final answer
    x = 127,407.60

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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.