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Finding the Fourth Proportional to 260,708, 359,777.06 and 141,476

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Solution

The fourth proportional to 260,708, 359,777.06 and 141,476 is: 195,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,708 : 359,777.06 = 141,476 : x
  2. Step 2: Convert to fraction form
    260,708/359,777.06 = 141,476/x
  3. Step 3: Cross multiply
    260,708x = 359,777.06 × 141,476
  4. Step 4: Simplify right side
    260,708x = 50,899,819,340.56
  5. Step 5: Solve for x
    x = 50,899,819,340.56/260,708
  6. Step 6: Final answer
    x = 195,236.89

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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.