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Finding the Fourth Proportional to 201,593.68, 278,216.58 and 110,967.64

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Solution

The fourth proportional to 201,593.68, 278,216.58 and 110,967.64 is: 153,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,593.68 : 278,216.58 = 110,967.64 : x
  2. Step 2: Convert to fraction form
    201,593.68/278,216.58 = 110,967.64/x
  3. Step 3: Cross multiply
    201,593.68x = 278,216.58 × 110,967.64
  4. Step 4: Simplify right side
    201,593.68x = 30,873,037,291.47
  5. Step 5: Solve for x
    x = 30,873,037,291.47/201,593.68
  6. Step 6: Final answer
    x = 153,144.87

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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.