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Finding the Fourth Proportional to 321,129.10, 481,693.65 and 96,524.20

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Solution

The fourth proportional to 321,129.10, 481,693.65 and 96,524.20 is: 144,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,129.10 : 481,693.65 = 96,524.20 : x
  2. Step 2: Convert to fraction form
    321,129.10/481,693.65 = 96,524.20/x
  3. Step 3: Cross multiply
    321,129.10x = 481,693.65 × 96,524.20
  4. Step 4: Simplify right side
    321,129.10x = 46,495,094,211.33
  5. Step 5: Solve for x
    x = 46,495,094,211.33/321,129.10
  6. Step 6: Final answer
    x = 144,786.30

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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.