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Finding the Fourth Proportional to 260,304, 359,221.68 and 141,072

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Solution

The fourth proportional to 260,304, 359,221.68 and 141,072 is: 194,680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,304 : 359,221.68 = 141,072 : x
  2. Step 2: Convert to fraction form
    260,304/359,221.68 = 141,072/x
  3. Step 3: Cross multiply
    260,304x = 359,221.68 × 141,072
  4. Step 4: Simplify right side
    260,304x = 50,676,120,840.96
  5. Step 5: Solve for x
    x = 50,676,120,840.96/260,304
  6. Step 6: Final answer
    x = 194,680.53

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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.