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Finding the Fourth Proportional to 200,715.10, 301,072.65 and 133,938.70

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Solution

The fourth proportional to 200,715.10, 301,072.65 and 133,938.70 is: 200,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,715.10 : 301,072.65 = 133,938.70 : x
  2. Step 2: Convert to fraction form
    200,715.10/301,072.65 = 133,938.70/x
  3. Step 3: Cross multiply
    200,715.10x = 301,072.65 × 133,938.70
  4. Step 4: Simplify right side
    200,715.10x = 40,325,279,346.56
  5. Step 5: Solve for x
    x = 40,325,279,346.56/200,715.10
  6. Step 6: Final answer
    x = 200,908.05

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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.