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Finding the Fourth Proportional to 275,248.44, 412,742.52 and 106,849.44

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Solution

The fourth proportional to 275,248.44, 412,742.52 and 106,849.44 is: 160,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,248.44 : 412,742.52 = 106,849.44 : x
  2. Step 2: Convert to fraction form
    275,248.44/412,742.52 = 106,849.44/x
  3. Step 3: Cross multiply
    275,248.44x = 412,742.52 × 106,849.44
  4. Step 4: Simplify right side
    275,248.44x = 44,101,307,126.19
  5. Step 5: Solve for x
    x = 44,101,307,126.19/275,248.44
  6. Step 6: Final answer
    x = 160,223.64

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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.