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Finding the Fourth Proportional to 155,438.28, 233,099.10 and 50,229

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Solution

The fourth proportional to 155,438.28, 233,099.10 and 50,229 is: 75,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,438.28 : 233,099.10 = 50,229 : x
  2. Step 2: Convert to fraction form
    155,438.28/233,099.10 = 50,229/x
  3. Step 3: Cross multiply
    155,438.28x = 233,099.10 × 50,229
  4. Step 4: Simplify right side
    155,438.28x = 11,708,334,693.90
  5. Step 5: Solve for x
    x = 11,708,334,693.90/155,438.28
  6. Step 6: Final answer
    x = 75,324.65

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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.