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Finding the Fourth Proportional to 200,396, 276,546.56 and 110,972

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Solution

The fourth proportional to 200,396, 276,546.56 and 110,972 is: 153,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,396 : 276,546.56 = 110,972 : x
  2. Step 2: Convert to fraction form
    200,396/276,546.56 = 110,972/x
  3. Step 3: Cross multiply
    200,396x = 276,546.56 × 110,972
  4. Step 4: Simplify right side
    200,396x = 30,688,924,856.32
  5. Step 5: Solve for x
    x = 30,688,924,856.32/200,396
  6. Step 6: Final answer
    x = 153,141.40

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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.