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Finding the Fourth Proportional to 273,465.66, 410,196.74 and 147,165.42

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Solution

The fourth proportional to 273,465.66, 410,196.74 and 147,165.42 is: 220,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,465.66 : 410,196.74 = 147,165.42 : x
  2. Step 2: Convert to fraction form
    273,465.66/410,196.74 = 147,165.42/x
  3. Step 3: Cross multiply
    273,465.66x = 410,196.74 × 147,165.42
  4. Step 4: Simplify right side
    273,465.66x = 60,366,775,524.73
  5. Step 5: Solve for x
    x = 60,366,775,524.73/273,465.66
  6. Step 6: Final answer
    x = 220,747.19

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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.