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Finding the Fourth Proportional to 200,991.44, 301,493.93 and 101,097.17

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Solution

The fourth proportional to 200,991.44, 301,493.93 and 101,097.17 is: 151,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,991.44 : 301,493.93 = 101,097.17 : x
  2. Step 2: Convert to fraction form
    200,991.44/301,493.93 = 101,097.17/x
  3. Step 3: Cross multiply
    200,991.44x = 301,493.93 × 101,097.17
  4. Step 4: Simplify right side
    200,991.44x = 30,480,181,082.22
  5. Step 5: Solve for x
    x = 30,480,181,082.22/200,991.44
  6. Step 6: Final answer
    x = 151,649.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.