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Finding the Fourth Proportional to 130,058.28, 194,969.20 and 50,045.20

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Solution

The fourth proportional to 130,058.28, 194,969.20 and 50,045.20 is: 75,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,058.28 : 194,969.20 = 50,045.20 : x
  2. Step 2: Convert to fraction form
    130,058.28/194,969.20 = 50,045.20/x
  3. Step 3: Cross multiply
    130,058.28x = 194,969.20 × 50,045.20
  4. Step 4: Simplify right side
    130,058.28x = 9,757,273,442.42
  5. Step 5: Solve for x
    x = 9,757,273,442.42/130,058.28
  6. Step 6: Final answer
    x = 75,022.32

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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.