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Finding the Fourth Proportional to 357,100.02, 492,797.73 and 195,965.20

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Solution

The fourth proportional to 357,100.02, 492,797.73 and 195,965.20 is: 270,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,100.02 : 492,797.73 = 195,965.20 : x
  2. Step 2: Convert to fraction form
    357,100.02/492,797.73 = 195,965.20/x
  3. Step 3: Cross multiply
    357,100.02x = 492,797.73 × 195,965.20
  4. Step 4: Simplify right side
    357,100.02x = 96,571,205,719.00
  5. Step 5: Solve for x
    x = 96,571,205,719.00/357,100.02
  6. Step 6: Final answer
    x = 270,431.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.