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Finding the Fourth Proportional to 200,911, 277,270.14 and 111,487

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Solution

The fourth proportional to 200,911, 277,270.14 and 111,487 is: 153,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911 : 277,270.14 = 111,487 : x
  2. Step 2: Convert to fraction form
    200,911/277,270.14 = 111,487/x
  3. Step 3: Cross multiply
    200,911x = 277,270.14 × 111,487
  4. Step 4: Simplify right side
    200,911x = 30,912,016,098.18
  5. Step 5: Solve for x
    x = 30,912,016,098.18/200,911
  6. Step 6: Final answer
    x = 153,859.25

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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.