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Finding the Fourth Proportional to 194,938.50, 269,015.94 and 105,514.50

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Solution

The fourth proportional to 194,938.50, 269,015.94 and 105,514.50 is: 145,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,938.50 : 269,015.94 = 105,514.50 : x
  2. Step 2: Convert to fraction form
    194,938.50/269,015.94 = 105,514.50/x
  3. Step 3: Cross multiply
    194,938.50x = 269,015.94 × 105,514.50
  4. Step 4: Simplify right side
    194,938.50x = 28,385,082,401.13
  5. Step 5: Solve for x
    x = 28,385,082,401.13/194,938.50
  6. Step 6: Final answer
    x = 145,610.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.