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Finding the Fourth Proportional to 194,338.47, 290,849.30 and 119,506.02

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Solution

The fourth proportional to 194,338.47, 290,849.30 and 119,506.02 is: 178,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,338.47 : 290,849.30 = 119,506.02 : x
  2. Step 2: Convert to fraction form
    194,338.47/290,849.30 = 119,506.02/x
  3. Step 3: Cross multiply
    194,338.47x = 290,849.30 × 119,506.02
  4. Step 4: Simplify right side
    194,338.47x = 34,758,241,665.26
  5. Step 5: Solve for x
    x = 34,758,241,665.26/194,338.47
  6. Step 6: Final answer
    x = 178,854.15

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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.