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Finding the Fourth Proportional to 355,180.68, 490,161.51 and 194,047.97

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Solution

The fourth proportional to 355,180.68, 490,161.51 and 194,047.97 is: 267,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,180.68 : 490,161.51 = 194,047.97 : x
  2. Step 2: Convert to fraction form
    355,180.68/490,161.51 = 194,047.97/x
  3. Step 3: Cross multiply
    355,180.68x = 490,161.51 × 194,047.97
  4. Step 4: Simplify right side
    355,180.68x = 95,114,843,536.83
  5. Step 5: Solve for x
    x = 95,114,843,536.83/355,180.68
  6. Step 6: Final answer
    x = 267,792.84

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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.