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Finding the Fourth Proportional to 132,850.22, 199,322.87 and 56,916.87

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Solution

The fourth proportional to 132,850.22, 199,322.87 and 56,916.87 is: 85,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,850.22 : 199,322.87 = 56,916.87 : x
  2. Step 2: Convert to fraction form
    132,850.22/199,322.87 = 56,916.87/x
  3. Step 3: Cross multiply
    132,850.22x = 199,322.87 × 56,916.87
  4. Step 4: Simplify right side
    132,850.22x = 11,344,833,595.23
  5. Step 5: Solve for x
    x = 11,344,833,595.23/132,850.22
  6. Step 6: Final answer
    x = 85,395.67

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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.