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Finding the Fourth Proportional to 259,385.44, 357,930.48 and 146,236

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Solution

The fourth proportional to 259,385.44, 357,930.48 and 146,236 is: 201,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,385.44 : 357,930.48 = 146,236 : x
  2. Step 2: Convert to fraction form
    259,385.44/357,930.48 = 146,236/x
  3. Step 3: Cross multiply
    259,385.44x = 357,930.48 × 146,236
  4. Step 4: Simplify right side
    259,385.44x = 52,342,321,673.28
  5. Step 5: Solve for x
    x = 52,342,321,673.28/259,385.44
  6. Step 6: Final answer
    x = 201,793.60

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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.