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Finding the Fourth Proportional to 193,735.44, 290,097.72 and 149,256.72

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Solution

The fourth proportional to 193,735.44, 290,097.72 and 149,256.72 is: 223,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,735.44 : 290,097.72 = 149,256.72 : x
  2. Step 2: Convert to fraction form
    193,735.44/290,097.72 = 149,256.72/x
  3. Step 3: Cross multiply
    193,735.44x = 290,097.72 × 149,256.72
  4. Step 4: Simplify right side
    193,735.44x = 43,299,034,166.68
  5. Step 5: Solve for x
    x = 43,299,034,166.68/193,735.44
  6. Step 6: Final answer
    x = 223,495.68

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1.5x scale

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.