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Finding the Fourth Proportional to 202,012.14, 278,760.36 and 117,134.67

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Solution

The fourth proportional to 202,012.14, 278,760.36 and 117,134.67 is: 161,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,012.14 : 278,760.36 = 117,134.67 : x
  2. Step 2: Convert to fraction form
    202,012.14/278,760.36 = 117,134.67/x
  3. Step 3: Cross multiply
    202,012.14x = 278,760.36 × 117,134.67
  4. Step 4: Simplify right side
    202,012.14x = 32,652,502,777.68
  5. Step 5: Solve for x
    x = 32,652,502,777.68/202,012.14
  6. Step 6: Final answer
    x = 161,636.34

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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.