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Finding the Fourth Proportional to 255,957.51, 383,772.23 and 106,301.10

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Solution

The fourth proportional to 255,957.51, 383,772.23 and 106,301.10 is: 159,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,957.51 : 383,772.23 = 106,301.10 : x
  2. Step 2: Convert to fraction form
    255,957.51/383,772.23 = 106,301.10/x
  3. Step 3: Cross multiply
    255,957.51x = 383,772.23 × 106,301.10
  4. Step 4: Simplify right side
    255,957.51x = 40,795,410,198.45
  5. Step 5: Solve for x
    x = 40,795,410,198.45/255,957.51
  6. Step 6: Final answer
    x = 159,383.53

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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.