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Finding the Fourth Proportional to 202,704.54, 279,730.44 and 112,062.81

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Solution

The fourth proportional to 202,704.54, 279,730.44 and 112,062.81 is: 154,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,704.54 : 279,730.44 = 112,062.81 : x
  2. Step 2: Convert to fraction form
    202,704.54/279,730.44 = 112,062.81/x
  3. Step 3: Cross multiply
    202,704.54x = 279,730.44 × 112,062.81
  4. Step 4: Simplify right side
    202,704.54x = 31,347,379,148.94
  5. Step 5: Solve for x
    x = 31,347,379,148.94/202,704.54
  6. Step 6: Final answer
    x = 154,645.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.