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Finding the Fourth Proportional to 200,268, 276,374.16 and 110,844

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Solution

The fourth proportional to 200,268, 276,374.16 and 110,844 is: 152,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,268 : 276,374.16 = 110,844 : x
  2. Step 2: Convert to fraction form
    200,268/276,374.16 = 110,844/x
  3. Step 3: Cross multiply
    200,268x = 276,374.16 × 110,844
  4. Step 4: Simplify right side
    200,268x = 30,634,417,391.04
  5. Step 5: Solve for x
    x = 30,634,417,391.04/200,268
  6. Step 6: Final answer
    x = 152,967.11

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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.