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Finding the Fourth Proportional to 260,677, 359,734.26 and 141,445

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Solution

The fourth proportional to 260,677, 359,734.26 and 141,445 is: 195,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,677 : 359,734.26 = 141,445 : x
  2. Step 2: Convert to fraction form
    260,677/359,734.26 = 141,445/x
  3. Step 3: Cross multiply
    260,677x = 359,734.26 × 141,445
  4. Step 4: Simplify right side
    260,677x = 50,882,612,405.70
  5. Step 5: Solve for x
    x = 50,882,612,405.70/260,677
  6. Step 6: Final answer
    x = 195,194.10

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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.