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Finding the Fourth Proportional to 142,151.63, 196,009.32 and 116,229.30

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Solution

The fourth proportional to 142,151.63, 196,009.32 and 116,229.30 is: 160,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,151.63 : 196,009.32 = 116,229.30 : x
  2. Step 2: Convert to fraction form
    142,151.63/196,009.32 = 116,229.30/x
  3. Step 3: Cross multiply
    142,151.63x = 196,009.32 × 116,229.30
  4. Step 4: Simplify right side
    142,151.63x = 22,782,025,104.11
  5. Step 5: Solve for x
    x = 22,782,025,104.11/142,151.63
  6. Step 6: Final answer
    x = 160,265.67

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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.