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Finding the Fourth Proportional to 194,544, 268,470.72 and 105,120

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Solution

The fourth proportional to 194,544, 268,470.72 and 105,120 is: 145,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,544 : 268,470.72 = 105,120 : x
  2. Step 2: Convert to fraction form
    194,544/268,470.72 = 105,120/x
  3. Step 3: Cross multiply
    194,544x = 268,470.72 × 105,120
  4. Step 4: Simplify right side
    194,544x = 28,221,642,086.40
  5. Step 5: Solve for x
    x = 28,221,642,086.40/194,544
  6. Step 6: Final answer
    x = 145,065.60

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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.