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Finding the Fourth Proportional to 140,507.02, 193,672.11 and 109,826.65

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Solution

The fourth proportional to 140,507.02, 193,672.11 and 109,826.65 is: 151,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,507.02 : 193,672.11 = 109,826.65 : x
  2. Step 2: Convert to fraction form
    140,507.02/193,672.11 = 109,826.65/x
  3. Step 3: Cross multiply
    140,507.02x = 193,672.11 × 109,826.65
  4. Step 4: Simplify right side
    140,507.02x = 21,270,359,039.73
  5. Step 5: Solve for x
    x = 21,270,359,039.73/140,507.02
  6. Step 6: Final answer
    x = 151,382.89

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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.