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Finding the Fourth Proportional to 193,735.78, 290,484.80 and 75,268.82

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Solution

The fourth proportional to 193,735.78, 290,484.80 and 75,268.82 is: 112,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,735.78 : 290,484.80 = 75,268.82 : x
  2. Step 2: Convert to fraction form
    193,735.78/290,484.80 = 75,268.82/x
  3. Step 3: Cross multiply
    193,735.78x = 290,484.80 × 75,268.82
  4. Step 4: Simplify right side
    193,735.78x = 21,864,448,123.94
  5. Step 5: Solve for x
    x = 21,864,448,123.94/193,735.78
  6. Step 6: Final answer
    x = 112,857.05

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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.