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Finding the Fourth Proportional to 204,457, 282,150.57 and 113,811.07

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Solution

The fourth proportional to 204,457, 282,150.57 and 113,811.07 is: 157,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,457 : 282,150.57 = 113,811.07 : x
  2. Step 2: Convert to fraction form
    204,457/282,150.57 = 113,811.07/x
  3. Step 3: Cross multiply
    204,457x = 282,150.57 × 113,811.07
  4. Step 4: Simplify right side
    204,457x = 32,111,858,272.81
  5. Step 5: Solve for x
    x = 32,111,858,272.81/204,457
  6. Step 6: Final answer
    x = 157,059.23

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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.