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Finding the Fourth Proportional to 194,193.22, 290,916.69 and 119,094.46

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Solution

The fourth proportional to 194,193.22, 290,916.69 and 119,094.46 is: 178,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,193.22 : 290,916.69 = 119,094.46 : x
  2. Step 2: Convert to fraction form
    194,193.22/290,916.69 = 119,094.46/x
  3. Step 3: Cross multiply
    194,193.22x = 290,916.69 × 119,094.46
  4. Step 4: Simplify right side
    194,193.22x = 34,646,566,100.54
  5. Step 5: Solve for x
    x = 34,646,566,100.54/194,193.22
  6. Step 6: Final answer
    x = 178,412.85

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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.