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Finding the Fourth Proportional to 255,676.94, 352,846.26 and 142,500.50

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Solution

The fourth proportional to 255,676.94, 352,846.26 and 142,500.50 is: 196,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,676.94 : 352,846.26 = 142,500.50 : x
  2. Step 2: Convert to fraction form
    255,676.94/352,846.26 = 142,500.50/x
  3. Step 3: Cross multiply
    255,676.94x = 352,846.26 × 142,500.50
  4. Step 4: Simplify right side
    255,676.94x = 50,280,768,473.13
  5. Step 5: Solve for x
    x = 50,280,768,473.13/255,676.94
  6. Step 6: Final answer
    x = 196,657.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.