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Finding the Fourth Proportional to 194,941.50, 269,020.08 and 105,517.50

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Solution

The fourth proportional to 194,941.50, 269,020.08 and 105,517.50 is: 145,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,941.50 : 269,020.08 = 105,517.50 : x
  2. Step 2: Convert to fraction form
    194,941.50/269,020.08 = 105,517.50/x
  3. Step 3: Cross multiply
    194,941.50x = 269,020.08 × 105,517.50
  4. Step 4: Simplify right side
    194,941.50x = 28,386,326,291.40
  5. Step 5: Solve for x
    x = 28,386,326,291.40/194,941.50
  6. Step 6: Final answer
    x = 145,614.59

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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.