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Finding the Fourth Proportional to 193,496.60, 290,133.16 and 75,029.54

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Solution

The fourth proportional to 193,496.60, 290,133.16 and 75,029.54 is: 112,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,496.60 : 290,133.16 = 75,029.54 : x
  2. Step 2: Convert to fraction form
    193,496.60/290,133.16 = 75,029.54/x
  3. Step 3: Cross multiply
    193,496.60x = 290,133.16 × 75,029.54
  4. Step 4: Simplify right side
    193,496.60x = 21,768,558,071.31
  5. Step 5: Solve for x
    x = 21,768,558,071.31/193,496.60
  6. Step 6: Final answer
    x = 112,500.98

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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.