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Finding the Fourth Proportional to 275,846.42, 413,758.40 and 95,973.03

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Solution

The fourth proportional to 275,846.42, 413,758.40 and 95,973.03 is: 143,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,846.42 : 413,758.40 = 95,973.03 : x
  2. Step 2: Convert to fraction form
    275,846.42/413,758.40 = 95,973.03/x
  3. Step 3: Cross multiply
    275,846.42x = 413,758.40 × 95,973.03
  4. Step 4: Simplify right side
    275,846.42x = 39,709,646,856.09
  5. Step 5: Solve for x
    x = 39,709,646,856.09/275,846.42
  6. Step 6: Final answer
    x = 143,955.63

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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.