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Finding the Fourth Proportional to 204,706.32, 282,486.24 and 114,057.60

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Solution

The fourth proportional to 204,706.32, 282,486.24 and 114,057.60 is: 157,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,706.32 : 282,486.24 = 114,057.60 : x
  2. Step 2: Convert to fraction form
    204,706.32/282,486.24 = 114,057.60/x
  3. Step 3: Cross multiply
    204,706.32x = 282,486.24 × 114,057.60
  4. Step 4: Simplify right side
    204,706.32x = 32,219,702,567.42
  5. Step 5: Solve for x
    x = 32,219,702,567.42/204,706.32
  6. Step 6: Final answer
    x = 157,394.76

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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.