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Finding the Fourth Proportional to 233,103.44, 349,655.14 and 154,199.20

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Solution

The fourth proportional to 233,103.44, 349,655.14 and 154,199.20 is: 231,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,103.44 : 349,655.14 = 154,199.20 : x
  2. Step 2: Convert to fraction form
    233,103.44/349,655.14 = 154,199.20/x
  3. Step 3: Cross multiply
    233,103.44x = 349,655.14 × 154,199.20
  4. Step 4: Simplify right side
    233,103.44x = 53,916,542,863.89
  5. Step 5: Solve for x
    x = 53,916,542,863.89/233,103.44
  6. Step 6: Final answer
    x = 231,298.79

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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.