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Finding the Fourth Proportional to 255,641.26, 383,327.58 and 113,424.94

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Solution

The fourth proportional to 255,641.26, 383,327.58 and 113,424.94 is: 170,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,641.26 : 383,327.58 = 113,424.94 : x
  2. Step 2: Convert to fraction form
    255,641.26/383,327.58 = 113,424.94/x
  3. Step 3: Cross multiply
    255,641.26x = 383,327.58 × 113,424.94
  4. Step 4: Simplify right side
    255,641.26x = 43,478,907,761.85
  5. Step 5: Solve for x
    x = 43,478,907,761.85/255,641.26
  6. Step 6: Final answer
    x = 170,077.82

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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.