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Finding the Fourth Proportional to 206,592, 285,111.08 and 114,716.03

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Solution

The fourth proportional to 206,592, 285,111.08 and 114,716.03 is: 158,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,592 : 285,111.08 = 114,716.03 : x
  2. Step 2: Convert to fraction form
    206,592/285,111.08 = 114,716.03/x
  3. Step 3: Cross multiply
    206,592x = 285,111.08 × 114,716.03
  4. Step 4: Simplify right side
    206,592x = 32,706,809,207.48
  5. Step 5: Solve for x
    x = 32,706,809,207.48/206,592
  6. Step 6: Final answer
    x = 158,315.95

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Why These Related Problems?

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