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Finding the Fourth Proportional to 357,122.50, 492,835.05 and 195,992.54

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Solution

The fourth proportional to 357,122.50, 492,835.05 and 195,992.54 is: 270,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,122.50 : 492,835.05 = 195,992.54 : x
  2. Step 2: Convert to fraction form
    357,122.50/492,835.05 = 195,992.54/x
  3. Step 3: Cross multiply
    357,122.50x = 492,835.05 × 195,992.54
  4. Step 4: Simplify right side
    357,122.50x = 96,591,992,634.48
  5. Step 5: Solve for x
    x = 96,591,992,634.48/357,122.50
  6. Step 6: Final answer
    x = 270,473.00

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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.