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Finding the Fourth Proportional to 197,157.92, 295,947.40 and 84,893.72

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Solution

The fourth proportional to 197,157.92, 295,947.40 and 84,893.72 is: 127,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,157.92 : 295,947.40 = 84,893.72 : x
  2. Step 2: Convert to fraction form
    197,157.92/295,947.40 = 84,893.72/x
  3. Step 3: Cross multiply
    197,157.92x = 295,947.40 × 84,893.72
  4. Step 4: Simplify right side
    197,157.92x = 25,124,075,710.33
  5. Step 5: Solve for x
    x = 25,124,075,710.33/197,157.92
  6. Step 6: Final answer
    x = 127,431.23

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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.