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Finding the Fourth Proportional to 132,762.76, 199,163.78 and 42,775.31

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Solution

The fourth proportional to 132,762.76, 199,163.78 and 42,775.31 is: 64,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,762.76 : 199,163.78 = 42,775.31 : x
  2. Step 2: Convert to fraction form
    132,762.76/199,163.78 = 42,775.31/x
  3. Step 3: Cross multiply
    132,762.76x = 199,163.78 × 42,775.31
  4. Step 4: Simplify right side
    132,762.76x = 8,519,292,537.21
  5. Step 5: Solve for x
    x = 8,519,292,537.21/132,762.76
  6. Step 6: Final answer
    x = 64,169.30

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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.