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Finding the Fourth Proportional to 323,199.76, 484,497.96 and 109,821.64

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Solution

The fourth proportional to 323,199.76, 484,497.96 and 109,821.64 is: 164,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,199.76 : 484,497.96 = 109,821.64 : x
  2. Step 2: Convert to fraction form
    323,199.76/484,497.96 = 109,821.64/x
  3. Step 3: Cross multiply
    323,199.76x = 484,497.96 × 109,821.64
  4. Step 4: Simplify right side
    323,199.76x = 53,208,360,543.85
  5. Step 5: Solve for x
    x = 53,208,360,543.85/323,199.76
  6. Step 6: Final answer
    x = 164,629.95

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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.