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Finding the Fourth Proportional to 321,613.64, 482,457.72 and 122,083.10

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Solution

The fourth proportional to 321,613.64, 482,457.72 and 122,083.10 is: 183,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,613.64 : 482,457.72 = 122,083.10 : x
  2. Step 2: Convert to fraction form
    321,613.64/482,457.72 = 122,083.10/x
  3. Step 3: Cross multiply
    321,613.64x = 482,457.72 × 122,083.10
  4. Step 4: Simplify right side
    321,613.64x = 58,899,934,076.53
  5. Step 5: Solve for x
    x = 58,899,934,076.53/321,613.64
  6. Step 6: Final answer
    x = 183,138.79

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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.