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Finding the Fourth Proportional to 202,072.96, 278,847.72 and 111,429.58

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Solution

The fourth proportional to 202,072.96, 278,847.72 and 111,429.58 is: 153,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,072.96 : 278,847.72 = 111,429.58 : x
  2. Step 2: Convert to fraction form
    202,072.96/278,847.72 = 111,429.58/x
  3. Step 3: Cross multiply
    202,072.96x = 278,847.72 × 111,429.58
  4. Step 4: Simplify right side
    202,072.96x = 31,071,884,323.56
  5. Step 5: Solve for x
    x = 31,071,884,323.56/202,072.96
  6. Step 6: Final answer
    x = 153,765.67

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