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Finding the Fourth Proportional to 466,190.64, 699,216.68 and 129,196.16

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Solution

The fourth proportional to 466,190.64, 699,216.68 and 129,196.16 is: 193,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,190.64 : 699,216.68 = 129,196.16 : x
  2. Step 2: Convert to fraction form
    466,190.64/699,216.68 = 129,196.16/x
  3. Step 3: Cross multiply
    466,190.64x = 699,216.68 × 129,196.16
  4. Step 4: Simplify right side
    466,190.64x = 90,336,105,921.88
  5. Step 5: Solve for x
    x = 90,336,105,921.88/466,190.64
  6. Step 6: Final answer
    x = 193,775.03

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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.