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Finding the Fourth Proportional to 260,564.45, 359,548.67 and 145,849.48

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Solution

The fourth proportional to 260,564.45, 359,548.67 and 145,849.48 is: 201,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,564.45 : 359,548.67 = 145,849.48 : x
  2. Step 2: Convert to fraction form
    260,564.45/359,548.67 = 145,849.48/x
  3. Step 3: Cross multiply
    260,564.45x = 359,548.67 × 145,849.48
  4. Step 4: Simplify right side
    260,564.45x = 52,439,986,019.94
  5. Step 5: Solve for x
    x = 52,439,986,019.94/260,564.45
  6. Step 6: Final answer
    x = 201,255.34

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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.