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Finding the Fourth Proportional to 200,487.74, 276,672.90 and 109,849.36

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Solution

The fourth proportional to 200,487.74, 276,672.90 and 109,849.36 is: 151,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,487.74 : 276,672.90 = 109,849.36 : x
  2. Step 2: Convert to fraction form
    200,487.74/276,672.90 = 109,849.36/x
  3. Step 3: Cross multiply
    200,487.74x = 276,672.90 × 109,849.36
  4. Step 4: Simplify right side
    200,487.74x = 30,392,340,994.34
  5. Step 5: Solve for x
    x = 30,392,340,994.34/200,487.74
  6. Step 6: Final answer
    x = 151,592.02

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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.