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Finding the Fourth Proportional to 494,112.20, 741,160.50 and 157,148

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Solution

The fourth proportional to 494,112.20, 741,160.50 and 157,148 is: 235,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,112.20 : 741,160.50 = 157,148 : x
  2. Step 2: Convert to fraction form
    494,112.20/741,160.50 = 157,148/x
  3. Step 3: Cross multiply
    494,112.20x = 741,160.50 × 157,148
  4. Step 4: Simplify right side
    494,112.20x = 116,471,890,254
  5. Step 5: Solve for x
    x = 116,471,890,254/494,112.20
  6. Step 6: Final answer
    x = 235,719.52

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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.