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Finding the Fourth Proportional to 260,707.75, 359,776.70 and 141,475.75

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Solution

The fourth proportional to 260,707.75, 359,776.70 and 141,475.75 is: 195,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,707.75 : 359,776.70 = 141,475.75 : x
  2. Step 2: Convert to fraction form
    260,707.75/359,776.70 = 141,475.75/x
  3. Step 3: Cross multiply
    260,707.75x = 359,776.70 × 141,475.75
  4. Step 4: Simplify right side
    260,707.75x = 50,899,678,465.03
  5. Step 5: Solve for x
    x = 50,899,678,465.03/260,707.75
  6. Step 6: Final answer
    x = 195,236.54

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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.