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Finding the Fourth Proportional to 264,759.90, 397,336.73 and 106,989.72

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Solution

The fourth proportional to 264,759.90, 397,336.73 and 106,989.72 is: 160,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,759.90 : 397,336.73 = 106,989.72 : x
  2. Step 2: Convert to fraction form
    264,759.90/397,336.73 = 106,989.72/x
  3. Step 3: Cross multiply
    264,759.90x = 397,336.73 × 106,989.72
  4. Step 4: Simplify right side
    264,759.90x = 42,510,944,953.47
  5. Step 5: Solve for x
    x = 42,510,944,953.47/264,759.90
  6. Step 6: Final answer
    x = 160,564.14

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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.