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Finding the Fourth Proportional to 248,086.96, 342,385.44 and 146,144.50

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Solution

The fourth proportional to 248,086.96, 342,385.44 and 146,144.50 is: 201,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,086.96 : 342,385.44 = 146,144.50 : x
  2. Step 2: Convert to fraction form
    248,086.96/342,385.44 = 146,144.50/x
  3. Step 3: Cross multiply
    248,086.96x = 342,385.44 × 146,144.50
  4. Step 4: Simplify right side
    248,086.96x = 50,037,748,936.08
  5. Step 5: Solve for x
    x = 50,037,748,936.08/248,086.96
  6. Step 6: Final answer
    x = 201,694.39

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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.