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Finding the Fourth Proportional to 200,649.47, 276,919.35 and 114,622.07

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Solution

The fourth proportional to 200,649.47, 276,919.35 and 114,622.07 is: 158,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,649.47 : 276,919.35 = 114,622.07 : x
  2. Step 2: Convert to fraction form
    200,649.47/276,919.35 = 114,622.07/x
  3. Step 3: Cross multiply
    200,649.47x = 276,919.35 × 114,622.07
  4. Step 4: Simplify right side
    200,649.47x = 31,741,069,120.05
  5. Step 5: Solve for x
    x = 31,741,069,120.05/200,649.47
  6. Step 6: Final answer
    x = 158,191.64

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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.