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Finding the Fourth Proportional to 200,745, 277,028.10 and 111,321

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Solution

The fourth proportional to 200,745, 277,028.10 and 111,321 is: 153,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745 : 277,028.10 = 111,321 : x
  2. Step 2: Convert to fraction form
    200,745/277,028.10 = 111,321/x
  3. Step 3: Cross multiply
    200,745x = 277,028.10 × 111,321
  4. Step 4: Simplify right side
    200,745x = 30,839,045,120.10
  5. Step 5: Solve for x
    x = 30,839,045,120.10/200,745
  6. Step 6: Final answer
    x = 153,622.98

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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.