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Finding the Fourth Proportional to 260,704, 359,771.52 and 141,472

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Solution

The fourth proportional to 260,704, 359,771.52 and 141,472 is: 195,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,704 : 359,771.52 = 141,472 : x
  2. Step 2: Convert to fraction form
    260,704/359,771.52 = 141,472/x
  3. Step 3: Cross multiply
    260,704x = 359,771.52 × 141,472
  4. Step 4: Simplify right side
    260,704x = 50,897,596,477.44
  5. Step 5: Solve for x
    x = 50,897,596,477.44/260,704
  6. Step 6: Final answer
    x = 195,231.36

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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.