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Finding the Fourth Proportional to 295,771.76, 443,651.12 and 82,533.96

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Solution

The fourth proportional to 295,771.76, 443,651.12 and 82,533.96 is: 123,799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,771.76 : 443,651.12 = 82,533.96 : x
  2. Step 2: Convert to fraction form
    295,771.76/443,651.12 = 82,533.96/x
  3. Step 3: Cross multiply
    295,771.76x = 443,651.12 × 82,533.96
  4. Step 4: Simplify right side
    295,771.76x = 36,616,283,792.04
  5. Step 5: Solve for x
    x = 36,616,283,792.04/295,771.76
  6. Step 6: Final answer
    x = 123,799.12

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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.