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Finding the Fourth Proportional to 193,275.12, 289,899.72 and 53,022

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Solution

The fourth proportional to 193,275.12, 289,899.72 and 53,022 is: 79,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,275.12 : 289,899.72 = 53,022 : x
  2. Step 2: Convert to fraction form
    193,275.12/289,899.72 = 53,022/x
  3. Step 3: Cross multiply
    193,275.12x = 289,899.72 × 53,022
  4. Step 4: Simplify right side
    193,275.12x = 15,371,062,953.84
  5. Step 5: Solve for x
    x = 15,371,062,953.84/193,275.12
  6. Step 6: Final answer
    x = 79,529.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.