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Finding the Fourth Proportional to 204,808.16, 282,636.56 and 114,169.88

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Solution

The fourth proportional to 204,808.16, 282,636.56 and 114,169.88 is: 157,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,808.16 : 282,636.56 = 114,169.88 : x
  2. Step 2: Convert to fraction form
    204,808.16/282,636.56 = 114,169.88/x
  3. Step 3: Cross multiply
    204,808.16x = 282,636.56 × 114,169.88
  4. Step 4: Simplify right side
    204,808.16x = 32,268,582,138.81
  5. Step 5: Solve for x
    x = 32,268,582,138.81/204,808.16
  6. Step 6: Final answer
    x = 157,555.16

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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.