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Finding the Fourth Proportional to 140,885.52, 194,427 and 77,223.30

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Solution

The fourth proportional to 140,885.52, 194,427 and 77,223.30 is: 106,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,885.52 : 194,427 = 77,223.30 : x
  2. Step 2: Convert to fraction form
    140,885.52/194,427 = 77,223.30/x
  3. Step 3: Cross multiply
    140,885.52x = 194,427 × 77,223.30
  4. Step 4: Simplify right side
    140,885.52x = 15,014,294,549.10
  5. Step 5: Solve for x
    x = 15,014,294,549.10/140,885.52
  6. Step 6: Final answer
    x = 106,570.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.