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Finding the Fourth Proportional to 193,830.99, 290,690.33 and 75,475.95

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Solution

The fourth proportional to 193,830.99, 290,690.33 and 75,475.95 is: 113,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,830.99 : 290,690.33 = 75,475.95 : x
  2. Step 2: Convert to fraction form
    193,830.99/290,690.33 = 75,475.95/x
  3. Step 3: Cross multiply
    193,830.99x = 290,690.33 × 75,475.95
  4. Step 4: Simplify right side
    193,830.99x = 21,940,128,435.18
  5. Step 5: Solve for x
    x = 21,940,128,435.18/193,830.99
  6. Step 6: Final answer
    x = 113,192.06

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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.