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Finding the Fourth Proportional to 230,691.56, 318,155.46 and 150,089.64

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Solution

The fourth proportional to 230,691.56, 318,155.46 and 150,089.64 is: 206,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,691.56 : 318,155.46 = 150,089.64 : x
  2. Step 2: Convert to fraction form
    230,691.56/318,155.46 = 150,089.64/x
  3. Step 3: Cross multiply
    230,691.56x = 318,155.46 × 150,089.64
  4. Step 4: Simplify right side
    230,691.56x = 47,751,838,455.43
  5. Step 5: Solve for x
    x = 47,751,838,455.43/230,691.56
  6. Step 6: Final answer
    x = 206,994.30

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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.