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Finding the Fourth Proportional to 264,022.60, 395,936.70 and 86,535.40

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Solution

The fourth proportional to 264,022.60, 395,936.70 and 86,535.40 is: 129,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,022.60 : 395,936.70 = 86,535.40 : x
  2. Step 2: Convert to fraction form
    264,022.60/395,936.70 = 86,535.40/x
  3. Step 3: Cross multiply
    264,022.60x = 395,936.70 × 86,535.40
  4. Step 4: Simplify right side
    264,022.60x = 34,262,540,709.18
  5. Step 5: Solve for x
    x = 34,262,540,709.18/264,022.60
  6. Step 6: Final answer
    x = 129,771.24

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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.