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Finding the Fourth Proportional to 206,467.94, 284,964.65 and 134,723.40

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Solution

The fourth proportional to 206,467.94, 284,964.65 and 134,723.40 is: 185,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,467.94 : 284,964.65 = 134,723.40 : x
  2. Step 2: Convert to fraction form
    206,467.94/284,964.65 = 134,723.40/x
  3. Step 3: Cross multiply
    206,467.94x = 284,964.65 × 134,723.40
  4. Step 4: Simplify right side
    206,467.94x = 38,391,406,191.00
  5. Step 5: Solve for x
    x = 38,391,406,191.00/206,467.94
  6. Step 6: Final answer
    x = 185,943.67

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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.