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Finding the Fourth Proportional to 140,709.37, 194,177.01 and 77,047.15

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Solution

The fourth proportional to 140,709.37, 194,177.01 and 77,047.15 is: 106,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,709.37 : 194,177.01 = 77,047.15 : x
  2. Step 2: Convert to fraction form
    140,709.37/194,177.01 = 77,047.15/x
  3. Step 3: Cross multiply
    140,709.37x = 194,177.01 × 77,047.15
  4. Step 4: Simplify right side
    140,709.37x = 14,960,785,216.02
  5. Step 5: Solve for x
    x = 14,960,785,216.02/140,709.37
  6. Step 6: Final answer
    x = 106,324.02

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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.