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Finding the Fourth Proportional to 348,857.96, 523,193.52 and 96,078.37

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Solution

The fourth proportional to 348,857.96, 523,193.52 and 96,078.37 is: 144,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,857.96 : 523,193.52 = 96,078.37 : x
  2. Step 2: Convert to fraction form
    348,857.96/523,193.52 = 96,078.37/x
  3. Step 3: Cross multiply
    348,857.96x = 523,193.52 × 96,078.37
  4. Step 4: Simplify right side
    348,857.96x = 50,267,580,596.16
  5. Step 5: Solve for x
    x = 50,267,580,596.16/348,857.96
  6. Step 6: Final answer
    x = 144,091.83

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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.