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Finding the Fourth Proportional to 200,656, 276,928.32 and 114,628.60

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Solution

The fourth proportional to 200,656, 276,928.32 and 114,628.60 is: 158,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,656 : 276,928.32 = 114,628.60 : x
  2. Step 2: Convert to fraction form
    200,656/276,928.32 = 114,628.60/x
  3. Step 3: Cross multiply
    200,656x = 276,928.32 × 114,628.60
  4. Step 4: Simplify right side
    200,656x = 31,743,905,621.95
  5. Step 5: Solve for x
    x = 31,743,905,621.95/200,656
  6. Step 6: Final answer
    x = 158,200.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.