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Finding the Fourth Proportional to 200,457, 276,639.30 and 111,033

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Solution

The fourth proportional to 200,457, 276,639.30 and 111,033 is: 153,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,457 : 276,639.30 = 111,033 : x
  2. Step 2: Convert to fraction form
    200,457/276,639.30 = 111,033/x
  3. Step 3: Cross multiply
    200,457x = 276,639.30 × 111,033
  4. Step 4: Simplify right side
    200,457x = 30,716,091,396.90
  5. Step 5: Solve for x
    x = 30,716,091,396.90/200,457
  6. Step 6: Final answer
    x = 153,230.33

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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.