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Finding the Fourth Proportional to 194,959, 269,044.14 and 105,535

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Solution

The fourth proportional to 194,959, 269,044.14 and 105,535 is: 145,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,959 : 269,044.14 = 105,535 : x
  2. Step 2: Convert to fraction form
    194,959/269,044.14 = 105,535/x
  3. Step 3: Cross multiply
    194,959x = 269,044.14 × 105,535
  4. Step 4: Simplify right side
    194,959x = 28,393,573,314.90
  5. Step 5: Solve for x
    x = 28,393,573,314.90/194,959
  6. Step 6: Final answer
    x = 145,638.69

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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.