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Finding the Fourth Proportional to 200,727, 277,003.26 and 111,303

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Solution

The fourth proportional to 200,727, 277,003.26 and 111,303 is: 153,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727 : 277,003.26 = 111,303 : x
  2. Step 2: Convert to fraction form
    200,727/277,003.26 = 111,303/x
  3. Step 3: Cross multiply
    200,727x = 277,003.26 × 111,303
  4. Step 4: Simplify right side
    200,727x = 30,831,293,847.78
  5. Step 5: Solve for x
    x = 30,831,293,847.78/200,727
  6. Step 6: Final answer
    x = 153,598.14

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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.