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Finding the Fourth Proportional to 323,006.52, 484,406.44 and 106,825.10

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Solution

The fourth proportional to 323,006.52, 484,406.44 and 106,825.10 is: 160,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,006.52 : 484,406.44 = 106,825.10 : x
  2. Step 2: Convert to fraction form
    323,006.52/484,406.44 = 106,825.10/x
  3. Step 3: Cross multiply
    323,006.52x = 484,406.44 × 106,825.10
  4. Step 4: Simplify right side
    323,006.52x = 51,746,766,393.64
  5. Step 5: Solve for x
    x = 51,746,766,393.64/323,006.52
  6. Step 6: Final answer
    x = 160,203.47

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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.