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Finding the Fourth Proportional to 206,696.16, 285,244.20 and 114,813

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Solution

The fourth proportional to 206,696.16, 285,244.20 and 114,813 is: 158,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,696.16 : 285,244.20 = 114,813 : x
  2. Step 2: Convert to fraction form
    206,696.16/285,244.20 = 114,813/x
  3. Step 3: Cross multiply
    206,696.16x = 285,244.20 × 114,813
  4. Step 4: Simplify right side
    206,696.16x = 32,749,742,334.60
  5. Step 5: Solve for x
    x = 32,749,742,334.60/206,696.16
  6. Step 6: Final answer
    x = 158,443.88

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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.