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Finding the Fourth Proportional to 260,745.72, 359,799.36 and 146,008.41

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Solution

The fourth proportional to 260,745.72, 359,799.36 and 146,008.41 is: 201,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,745.72 : 359,799.36 = 146,008.41 : x
  2. Step 2: Convert to fraction form
    260,745.72/359,799.36 = 146,008.41/x
  3. Step 3: Cross multiply
    260,745.72x = 359,799.36 × 146,008.41
  4. Step 4: Simplify right side
    260,745.72x = 52,533,732,472.62
  5. Step 5: Solve for x
    x = 52,533,732,472.62/260,745.72
  6. Step 6: Final answer
    x = 201,474.96

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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.