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Finding the Fourth Proportional to 357,096.74, 492,792.14 and 195,954.48

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Solution

The fourth proportional to 357,096.74, 492,792.14 and 195,954.48 is: 270,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,096.74 : 492,792.14 = 195,954.48 : x
  2. Step 2: Convert to fraction form
    357,096.74/492,792.14 = 195,954.48/x
  3. Step 3: Cross multiply
    357,096.74x = 492,792.14 × 195,954.48
  4. Step 4: Simplify right side
    357,096.74x = 96,564,826,562.01
  5. Step 5: Solve for x
    x = 96,564,826,562.01/357,096.74
  6. Step 6: Final answer
    x = 270,416.44

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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.