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Finding the Fourth Proportional to 140,709.65, 194,177.37 and 77,047.43

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Solution

The fourth proportional to 140,709.65, 194,177.37 and 77,047.43 is: 106,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,709.65 : 194,177.37 = 77,047.43 : x
  2. Step 2: Convert to fraction form
    140,709.65/194,177.37 = 77,047.43/x
  3. Step 3: Cross multiply
    140,709.65x = 194,177.37 × 77,047.43
  4. Step 4: Simplify right side
    140,709.65x = 14,960,867,808.10
  5. Step 5: Solve for x
    x = 14,960,867,808.10/140,709.65
  6. Step 6: Final answer
    x = 106,324.39

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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.