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Finding the Fourth Proportional to 200,657.21, 276,909.65 and 110,012.96

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Solution

The fourth proportional to 200,657.21, 276,909.65 and 110,012.96 is: 151,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657.21 : 276,909.65 = 110,012.96 : x
  2. Step 2: Convert to fraction form
    200,657.21/276,909.65 = 110,012.96/x
  3. Step 3: Cross multiply
    200,657.21x = 276,909.65 × 110,012.96
  4. Step 4: Simplify right side
    200,657.21x = 30,463,648,314.45
  5. Step 5: Solve for x
    x = 30,463,648,314.45/200,657.21
  6. Step 6: Final answer
    x = 151,819.36

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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.