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Finding the Fourth Proportional to 264,704.63, 396,881.41 and 96,204.93

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Solution

The fourth proportional to 264,704.63, 396,881.41 and 96,204.93 is: 144,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,704.63 : 396,881.41 = 96,204.93 : x
  2. Step 2: Convert to fraction form
    264,704.63/396,881.41 = 96,204.93/x
  3. Step 3: Cross multiply
    264,704.63x = 396,881.41 × 96,204.93
  4. Step 4: Simplify right side
    264,704.63x = 38,181,948,026.84
  5. Step 5: Solve for x
    x = 38,181,948,026.84/264,704.63
  6. Step 6: Final answer
    x = 144,243.60

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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.