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Finding the Fourth Proportional to 265,438.42, 398,321.25 and 107,668.24

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Solution

The fourth proportional to 265,438.42, 398,321.25 and 107,668.24 is: 161,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,438.42 : 398,321.25 = 107,668.24 : x
  2. Step 2: Convert to fraction form
    265,438.42/398,321.25 = 107,668.24/x
  3. Step 3: Cross multiply
    265,438.42x = 398,321.25 × 107,668.24
  4. Step 4: Simplify right side
    265,438.42x = 42,886,547,942.10
  5. Step 5: Solve for x
    x = 42,886,547,942.10/265,438.42
  6. Step 6: Final answer
    x = 161,568.73

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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.