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Finding the Fourth Proportional to 193,277.12, 289,902.72 and 53,024

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Solution

The fourth proportional to 193,277.12, 289,902.72 and 53,024 is: 79,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,277.12 : 289,902.72 = 53,024 : x
  2. Step 2: Convert to fraction form
    193,277.12/289,902.72 = 53,024/x
  3. Step 3: Cross multiply
    193,277.12x = 289,902.72 × 53,024
  4. Step 4: Simplify right side
    193,277.12x = 15,371,801,825.28
  5. Step 5: Solve for x
    x = 15,371,801,825.28/193,277.12
  6. Step 6: Final answer
    x = 79,532.44

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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.