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Finding the Fourth Proportional to 130,165.27, 195,025.02 and 71,042.42

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Solution

The fourth proportional to 130,165.27, 195,025.02 and 71,042.42 is: 106,441.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,165.27 : 195,025.02 = 71,042.42 : x
  2. Step 2: Convert to fraction form
    130,165.27/195,025.02 = 71,042.42/x
  3. Step 3: Cross multiply
    130,165.27x = 195,025.02 × 71,042.42
  4. Step 4: Simplify right side
    130,165.27x = 13,855,049,602.50
  5. Step 5: Solve for x
    x = 13,855,049,602.50/130,165.27
  6. Step 6: Final answer
    x = 106,441.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.