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Finding the Fourth Proportional to 225,390.24, 311,038.65 and 140,507.64

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Solution

The fourth proportional to 225,390.24, 311,038.65 and 140,507.64 is: 193,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,390.24 : 311,038.65 = 140,507.64 : x
  2. Step 2: Convert to fraction form
    225,390.24/311,038.65 = 140,507.64/x
  3. Step 3: Cross multiply
    225,390.24x = 311,038.65 × 140,507.64
  4. Step 4: Simplify right side
    225,390.24x = 43,703,306,660.29
  5. Step 5: Solve for x
    x = 43,703,306,660.29/225,390.24
  6. Step 6: Final answer
    x = 193,900.62

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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.