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Finding the Fourth Proportional to 116,745.76, 175,135.92 and 42,868

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Solution

The fourth proportional to 116,745.76, 175,135.92 and 42,868 is: 64,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,745.76 : 175,135.92 = 42,868 : x
  2. Step 2: Convert to fraction form
    116,745.76/175,135.92 = 42,868/x
  3. Step 3: Cross multiply
    116,745.76x = 175,135.92 × 42,868
  4. Step 4: Simplify right side
    116,745.76x = 7,507,726,618.56
  5. Step 5: Solve for x
    x = 7,507,726,618.56/116,745.76
  6. Step 6: Final answer
    x = 64,308.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.