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Finding the Fourth Proportional to 113,415.20, 170,074.20 and 46,833.20

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Solution

The fourth proportional to 113,415.20, 170,074.20 and 46,833.20 is: 70,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,415.20 : 170,074.20 = 46,833.20 : x
  2. Step 2: Convert to fraction form
    113,415.20/170,074.20 = 46,833.20/x
  3. Step 3: Cross multiply
    113,415.20x = 170,074.20 × 46,833.20
  4. Step 4: Simplify right side
    113,415.20x = 7,965,119,023.44
  5. Step 5: Solve for x
    x = 7,965,119,023.44/113,415.20
  6. Step 6: Final answer
    x = 70,229.73

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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.