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Finding the Fourth Proportional to 190,274, 262,578.14 and 105,396.52

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Solution

The fourth proportional to 190,274, 262,578.14 and 105,396.52 is: 145,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,274 : 262,578.14 = 105,396.52 : x
  2. Step 2: Convert to fraction form
    190,274/262,578.14 = 105,396.52/x
  3. Step 3: Cross multiply
    190,274x = 262,578.14 × 105,396.52
  4. Step 4: Simplify right side
    190,274x = 27,674,822,184.07
  5. Step 5: Solve for x
    x = 27,674,822,184.07/190,274
  6. Step 6: Final answer
    x = 145,447.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.