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Finding the Fourth Proportional to 204,802.44, 282,618.36 and 114,168.36

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Solution

The fourth proportional to 204,802.44, 282,618.36 and 114,168.36 is: 157,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,802.44 : 282,618.36 = 114,168.36 : x
  2. Step 2: Convert to fraction form
    204,802.44/282,618.36 = 114,168.36/x
  3. Step 3: Cross multiply
    204,802.44x = 282,618.36 × 114,168.36
  4. Step 4: Simplify right side
    204,802.44x = 32,266,074,667.09
  5. Step 5: Solve for x
    x = 32,266,074,667.09/204,802.44
  6. Step 6: Final answer
    x = 157,547.32

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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.