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Finding the Fourth Proportional to 194,059.82, 290,547.84 and 104,993.84

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Solution

The fourth proportional to 194,059.82, 290,547.84 and 104,993.84 is: 157,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,059.82 : 290,547.84 = 104,993.84 : x
  2. Step 2: Convert to fraction form
    194,059.82/290,547.84 = 104,993.84/x
  3. Step 3: Cross multiply
    194,059.82x = 290,547.84 × 104,993.84
  4. Step 4: Simplify right side
    194,059.82x = 30,505,733,425.31
  5. Step 5: Solve for x
    x = 30,505,733,425.31/194,059.82
  6. Step 6: Final answer
    x = 157,197.58

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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.