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Finding the Fourth Proportional to 273,825.53, 410,892.93 and 147,463.10

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Solution

The fourth proportional to 273,825.53, 410,892.93 and 147,463.10 is: 221,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,825.53 : 410,892.93 = 147,463.10 : x
  2. Step 2: Convert to fraction form
    273,825.53/410,892.93 = 147,463.10/x
  3. Step 3: Cross multiply
    273,825.53x = 410,892.93 × 147,463.10
  4. Step 4: Simplify right side
    273,825.53x = 60,591,543,171.42
  5. Step 5: Solve for x
    x = 60,591,543,171.42/273,825.53
  6. Step 6: Final answer
    x = 221,277.92

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Why These Related Problems?

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