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Finding the Fourth Proportional to 200,618, 276,852.84 and 111,194

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Solution

The fourth proportional to 200,618, 276,852.84 and 111,194 is: 153,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,618 : 276,852.84 = 111,194 : x
  2. Step 2: Convert to fraction form
    200,618/276,852.84 = 111,194/x
  3. Step 3: Cross multiply
    200,618x = 276,852.84 × 111,194
  4. Step 4: Simplify right side
    200,618x = 30,784,374,690.96
  5. Step 5: Solve for x
    x = 30,784,374,690.96/200,618
  6. Step 6: Final answer
    x = 153,447.72

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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.