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Finding the Fourth Proportional to 190,667, 286,075.83 and 72,369.74

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Solution

The fourth proportional to 190,667, 286,075.83 and 72,369.74 is: 108,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,667 : 286,075.83 = 72,369.74 : x
  2. Step 2: Convert to fraction form
    190,667/286,075.83 = 72,369.74/x
  3. Step 3: Cross multiply
    190,667x = 286,075.83 × 72,369.74
  4. Step 4: Simplify right side
    190,667x = 20,703,233,437.38
  5. Step 5: Solve for x
    x = 20,703,233,437.38/190,667
  6. Step 6: Final answer
    x = 108,583.20

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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.