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Finding the Fourth Proportional to 227,828.60, 341,742.90 and 132,961.40

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Solution

The fourth proportional to 227,828.60, 341,742.90 and 132,961.40 is: 199,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,828.60 : 341,742.90 = 132,961.40 : x
  2. Step 2: Convert to fraction form
    227,828.60/341,742.90 = 132,961.40/x
  3. Step 3: Cross multiply
    227,828.60x = 341,742.90 × 132,961.40
  4. Step 4: Simplify right side
    227,828.60x = 45,438,614,424.06
  5. Step 5: Solve for x
    x = 45,438,614,424.06/227,828.60
  6. Step 6: Final answer
    x = 199,442.10

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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.