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Finding the Fourth Proportional to 255,866.70, 383,794.81 and 113,673.43

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Solution

The fourth proportional to 255,866.70, 383,794.81 and 113,673.43 is: 170,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,866.70 : 383,794.81 = 113,673.43 : x
  2. Step 2: Convert to fraction form
    255,866.70/383,794.81 = 113,673.43/x
  3. Step 3: Cross multiply
    255,866.70x = 383,794.81 × 113,673.43
  4. Step 4: Simplify right side
    255,866.70x = 43,627,271,509.41
  5. Step 5: Solve for x
    x = 43,627,271,509.41/255,866.70
  6. Step 6: Final answer
    x = 170,507.81

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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.