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Finding the Fourth Proportional to 206,106.26, 284,424.01 and 115,460.57

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Solution

The fourth proportional to 206,106.26, 284,424.01 and 115,460.57 is: 159,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,106.26 : 284,424.01 = 115,460.57 : x
  2. Step 2: Convert to fraction form
    206,106.26/284,424.01 = 115,460.57/x
  3. Step 3: Cross multiply
    206,106.26x = 284,424.01 × 115,460.57
  4. Step 4: Simplify right side
    206,106.26x = 32,839,758,738.69
  5. Step 5: Solve for x
    x = 32,839,758,738.69/206,106.26
  6. Step 6: Final answer
    x = 159,334.12

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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.