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Finding the Fourth Proportional to 149,137.92, 223,741.91 and 49,298.11

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Solution

The fourth proportional to 149,137.92, 223,741.91 and 49,298.11 is: 73,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,137.92 : 223,741.91 = 49,298.11 : x
  2. Step 2: Convert to fraction form
    149,137.92/223,741.91 = 49,298.11/x
  3. Step 3: Cross multiply
    149,137.92x = 223,741.91 × 49,298.11
  4. Step 4: Simplify right side
    149,137.92x = 11,030,052,854.68
  5. Step 5: Solve for x
    x = 11,030,052,854.68/149,137.92
  6. Step 6: Final answer
    x = 73,958.74

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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.