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Finding the Fourth Proportional to 194,742.39, 268,744.47 and 105,318.39

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Solution

The fourth proportional to 194,742.39, 268,744.47 and 105,318.39 is: 145,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,742.39 : 268,744.47 = 105,318.39 : x
  2. Step 2: Convert to fraction form
    194,742.39/268,744.47 = 105,318.39/x
  3. Step 3: Cross multiply
    194,742.39x = 268,744.47 × 105,318.39
  4. Step 4: Simplify right side
    194,742.39x = 28,303,734,901.80
  5. Step 5: Solve for x
    x = 28,303,734,901.80/194,742.39
  6. Step 6: Final answer
    x = 145,339.36

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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.