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Finding the Fourth Proportional to 260,743.85, 359,796.77 and 146,006.54

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Solution

The fourth proportional to 260,743.85, 359,796.77 and 146,006.54 is: 201,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,743.85 : 359,796.77 = 146,006.54 : x
  2. Step 2: Convert to fraction form
    260,743.85/359,796.77 = 146,006.54/x
  3. Step 3: Cross multiply
    260,743.85x = 359,796.77 × 146,006.54
  4. Step 4: Simplify right side
    260,743.85x = 52,532,681,660.34
  5. Step 5: Solve for x
    x = 52,532,681,660.34/260,743.85
  6. Step 6: Final answer
    x = 201,472.37

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1.5x scale

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.