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Finding the Fourth Proportional to 230,690.56, 318,154.08 and 150,088.64

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Solution

The fourth proportional to 230,690.56, 318,154.08 and 150,088.64 is: 206,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,690.56 : 318,154.08 = 150,088.64 : x
  2. Step 2: Convert to fraction form
    230,690.56/318,154.08 = 150,088.64/x
  3. Step 3: Cross multiply
    230,690.56x = 318,154.08 × 150,088.64
  4. Step 4: Simplify right side
    230,690.56x = 47,751,313,177.65
  5. Step 5: Solve for x
    x = 47,751,313,177.65/230,690.56
  6. Step 6: Final answer
    x = 206,992.92

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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.