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Finding the Fourth Proportional to 200,090.88, 276,126.84 and 109,448.64

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Solution

The fourth proportional to 200,090.88, 276,126.84 and 109,448.64 is: 151,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,090.88 : 276,126.84 = 109,448.64 : x
  2. Step 2: Convert to fraction form
    200,090.88/276,126.84 = 109,448.64/x
  3. Step 3: Cross multiply
    200,090.88x = 276,126.84 × 109,448.64
  4. Step 4: Simplify right side
    200,090.88x = 30,221,707,105.50
  5. Step 5: Solve for x
    x = 30,221,707,105.50/200,090.88
  6. Step 6: Final answer
    x = 151,039.90

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1.5x scale

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.