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Finding the Fourth Proportional to 260,252, 359,148 and 141,020

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Solution

The fourth proportional to 260,252, 359,148 and 141,020 is: 194,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,252 : 359,148 = 141,020 : x
  2. Step 2: Convert to fraction form
    260,252/359,148 = 141,020/x
  3. Step 3: Cross multiply
    260,252x = 359,148 × 141,020
  4. Step 4: Simplify right side
    260,252x = 50,647,050,960
  5. Step 5: Solve for x
    x = 50,647,050,960/260,252
  6. Step 6: Final answer
    x = 194,607.73

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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.