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Finding the Fourth Proportional to 225,713.92, 311,423.52 and 140,844.64

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Solution

The fourth proportional to 225,713.92, 311,423.52 and 140,844.64 is: 194,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,713.92 : 311,423.52 = 140,844.64 : x
  2. Step 2: Convert to fraction form
    225,713.92/311,423.52 = 140,844.64/x
  3. Step 3: Cross multiply
    225,713.92x = 311,423.52 × 140,844.64
  4. Step 4: Simplify right side
    225,713.92x = 43,862,333,561.93
  5. Step 5: Solve for x
    x = 43,862,333,561.93/225,713.92
  6. Step 6: Final answer
    x = 194,327.11

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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.