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Finding the Fourth Proportional to 194,974, 269,064.48 and 105,550

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Solution

The fourth proportional to 194,974, 269,064.48 and 105,550 is: 145,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,974 : 269,064.48 = 105,550 : x
  2. Step 2: Convert to fraction form
    194,974/269,064.48 = 105,550/x
  3. Step 3: Cross multiply
    194,974x = 269,064.48 × 105,550
  4. Step 4: Simplify right side
    194,974x = 28,399,755,864.00
  5. Step 5: Solve for x
    x = 28,399,755,864.00/194,974
  6. Step 6: Final answer
    x = 145,659.19

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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.