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Finding the Fourth Proportional to 204,776.36, 282,592.69 and 114,138.08

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Solution

The fourth proportional to 204,776.36, 282,592.69 and 114,138.08 is: 157,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,776.36 : 282,592.69 = 114,138.08 : x
  2. Step 2: Convert to fraction form
    204,776.36/282,592.69 = 114,138.08/x
  3. Step 3: Cross multiply
    204,776.36x = 282,592.69 × 114,138.08
  4. Step 4: Simplify right side
    204,776.36x = 32,254,586,683.78
  5. Step 5: Solve for x
    x = 32,254,586,683.78/204,776.36
  6. Step 6: Final answer
    x = 157,511.28

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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.