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Finding the Fourth Proportional to 355,446, 533,188.44 and 106,147.44

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Solution

The fourth proportional to 355,446, 533,188.44 and 106,147.44 is: 159,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,446 : 533,188.44 = 106,147.44 : x
  2. Step 2: Convert to fraction form
    355,446/533,188.44 = 106,147.44/x
  3. Step 3: Cross multiply
    355,446x = 533,188.44 × 106,147.44
  4. Step 4: Simplify right side
    355,446x = 56,596,587,943.59
  5. Step 5: Solve for x
    x = 56,596,587,943.59/355,446
  6. Step 6: Final answer
    x = 159,226.97

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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.