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Finding the Fourth Proportional to 130,141.51, 179,614.55 and 82,399.30

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Solution

The fourth proportional to 130,141.51, 179,614.55 and 82,399.30 is: 113,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,141.51 : 179,614.55 = 82,399.30 : x
  2. Step 2: Convert to fraction form
    130,141.51/179,614.55 = 82,399.30/x
  3. Step 3: Cross multiply
    130,141.51x = 179,614.55 × 82,399.30
  4. Step 4: Simplify right side
    130,141.51x = 14,800,113,189.82
  5. Step 5: Solve for x
    x = 14,800,113,189.82/130,141.51
  6. Step 6: Final answer
    x = 113,723.23

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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.