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Finding the Fourth Proportional to 194,972, 269,061.72 and 105,548

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Solution

The fourth proportional to 194,972, 269,061.72 and 105,548 is: 145,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,972 : 269,061.72 = 105,548 : x
  2. Step 2: Convert to fraction form
    194,972/269,061.72 = 105,548/x
  3. Step 3: Cross multiply
    194,972x = 269,061.72 × 105,548
  4. Step 4: Simplify right side
    194,972x = 28,398,926,422.56
  5. Step 5: Solve for x
    x = 28,398,926,422.56/194,972
  6. Step 6: Final answer
    x = 145,656.43

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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.