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Finding the Fourth Proportional to 264,718.16, 396,854.18 and 114,845.68

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Solution

The fourth proportional to 264,718.16, 396,854.18 and 114,845.68 is: 172,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,718.16 : 396,854.18 = 114,845.68 : x
  2. Step 2: Convert to fraction form
    264,718.16/396,854.18 = 114,845.68/x
  3. Step 3: Cross multiply
    264,718.16x = 396,854.18 × 114,845.68
  4. Step 4: Simplify right side
    264,718.16x = 45,576,986,596.58
  5. Step 5: Solve for x
    x = 45,576,986,596.58/264,718.16
  6. Step 6: Final answer
    x = 172,171.74

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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.