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Finding the Fourth Proportional to 289,835.28, 434,826.50 and 90,157.16

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Solution

The fourth proportional to 289,835.28, 434,826.50 and 90,157.16 is: 135,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,835.28 : 434,826.50 = 90,157.16 : x
  2. Step 2: Convert to fraction form
    289,835.28/434,826.50 = 90,157.16/x
  3. Step 3: Cross multiply
    289,835.28x = 434,826.50 × 90,157.16
  4. Step 4: Simplify right side
    289,835.28x = 39,202,722,969.02
  5. Step 5: Solve for x
    x = 39,202,722,969.02/289,835.28
  6. Step 6: Final answer
    x = 135,258.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.