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Finding the Fourth Proportional to 193,418, 290,283 and 99,950.48

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Solution

The fourth proportional to 193,418, 290,283 and 99,950.48 is: 150,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,418 : 290,283 = 99,950.48 : x
  2. Step 2: Convert to fraction form
    193,418/290,283 = 99,950.48/x
  3. Step 3: Cross multiply
    193,418x = 290,283 × 99,950.48
  4. Step 4: Simplify right side
    193,418x = 29,013,925,185.84
  5. Step 5: Solve for x
    x = 29,013,925,185.84/193,418
  6. Step 6: Final answer
    x = 150,006.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.