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Finding the Fourth Proportional to 259,533.92, 389,179.92 and 134,841.44

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Solution

The fourth proportional to 259,533.92, 389,179.92 and 134,841.44 is: 202,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,533.92 : 389,179.92 = 134,841.44 : x
  2. Step 2: Convert to fraction form
    259,533.92/389,179.92 = 134,841.44/x
  3. Step 3: Cross multiply
    259,533.92x = 389,179.92 × 134,841.44
  4. Step 4: Simplify right side
    259,533.92x = 52,477,580,831.88
  5. Step 5: Solve for x
    x = 52,477,580,831.88/259,533.92
  6. Step 6: Final answer
    x = 202,199.31

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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.