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Finding the Fourth Proportional to 357,136, 492,832.17 and 195,993.73

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Solution

The fourth proportional to 357,136, 492,832.17 and 195,993.73 is: 270,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,136 : 492,832.17 = 195,993.73 : x
  2. Step 2: Convert to fraction form
    357,136/492,832.17 = 195,993.73/x
  3. Step 3: Cross multiply
    357,136x = 492,832.17 × 195,993.73
  4. Step 4: Simplify right side
    357,136x = 96,592,015,262.29
  5. Step 5: Solve for x
    x = 96,592,015,262.29/357,136
  6. Step 6: Final answer
    x = 270,462.84

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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.