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Finding the Fourth Proportional to 194,336.47, 290,846.29 and 119,504.01

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Solution

The fourth proportional to 194,336.47, 290,846.29 and 119,504.01 is: 178,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,336.47 : 290,846.29 = 119,504.01 : x
  2. Step 2: Convert to fraction form
    194,336.47/290,846.29 = 119,504.01/x
  3. Step 3: Cross multiply
    194,336.47x = 290,846.29 × 119,504.01
  4. Step 4: Simplify right side
    194,336.47x = 34,757,297,948.62
  5. Step 5: Solve for x
    x = 34,757,297,948.62/194,336.47
  6. Step 6: Final answer
    x = 178,851.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.