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Finding the Fourth Proportional to 194,958, 269,042.76 and 105,534

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Solution

The fourth proportional to 194,958, 269,042.76 and 105,534 is: 145,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,958 : 269,042.76 = 105,534 : x
  2. Step 2: Convert to fraction form
    194,958/269,042.76 = 105,534/x
  3. Step 3: Cross multiply
    194,958x = 269,042.76 × 105,534
  4. Step 4: Simplify right side
    194,958x = 28,393,158,633.84
  5. Step 5: Solve for x
    x = 28,393,158,633.84/194,958
  6. Step 6: Final answer
    x = 145,637.31

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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.