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Finding the Fourth Proportional to 200,480, 276,662.40 and 111,056

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Solution

The fourth proportional to 200,480, 276,662.40 and 111,056 is: 153,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,480 : 276,662.40 = 111,056 : x
  2. Step 2: Convert to fraction form
    200,480/276,662.40 = 111,056/x
  3. Step 3: Cross multiply
    200,480x = 276,662.40 × 111,056
  4. Step 4: Simplify right side
    200,480x = 30,725,019,494.40
  5. Step 5: Solve for x
    x = 30,725,019,494.40/200,480
  6. Step 6: Final answer
    x = 153,257.28

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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.