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Finding the Fourth Proportional to 214,302.94, 295,745.26 and 118,803.94

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Solution

The fourth proportional to 214,302.94, 295,745.26 and 118,803.94 is: 163,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,302.94 : 295,745.26 = 118,803.94 : x
  2. Step 2: Convert to fraction form
    214,302.94/295,745.26 = 118,803.94/x
  3. Step 3: Cross multiply
    214,302.94x = 295,745.26 × 118,803.94
  4. Step 4: Simplify right side
    214,302.94x = 35,135,702,124.32
  5. Step 5: Solve for x
    x = 35,135,702,124.32/214,302.94
  6. Step 6: Final answer
    x = 163,953.43

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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.