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Finding the Fourth Proportional to 357,096.99, 492,792.48 and 195,954.73

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Solution

The fourth proportional to 357,096.99, 492,792.48 and 195,954.73 is: 270,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,096.99 : 492,792.48 = 195,954.73 : x
  2. Step 2: Convert to fraction form
    357,096.99/492,792.48 = 195,954.73/x
  3. Step 3: Cross multiply
    357,096.99x = 492,792.48 × 195,954.73
  4. Step 4: Simplify right side
    357,096.99x = 96,565,017,364.43
  5. Step 5: Solve for x
    x = 96,565,017,364.43/357,096.99
  6. Step 6: Final answer
    x = 270,416.78

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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.