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Finding the Fourth Proportional to 194,448, 268,338.42 and 105,024

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Solution

The fourth proportional to 194,448, 268,338.42 and 105,024 is: 144,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,448 : 268,338.42 = 105,024 : x
  2. Step 2: Convert to fraction form
    194,448/268,338.42 = 105,024/x
  3. Step 3: Cross multiply
    194,448x = 268,338.42 × 105,024
  4. Step 4: Simplify right side
    194,448x = 28,181,974,222.08
  5. Step 5: Solve for x
    x = 28,181,974,222.08/194,448
  6. Step 6: Final answer
    x = 144,933.22

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Why These Related Problems?

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