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Finding the Fourth Proportional to 147,662.29, 221,515.17 and 47,789.29

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Solution

The fourth proportional to 147,662.29, 221,515.17 and 47,789.29 is: 71,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,662.29 : 221,515.17 = 47,789.29 : x
  2. Step 2: Convert to fraction form
    147,662.29/221,515.17 = 47,789.29/x
  3. Step 3: Cross multiply
    147,662.29x = 221,515.17 × 47,789.29
  4. Step 4: Simplify right side
    147,662.29x = 10,586,051,352.01
  5. Step 5: Solve for x
    x = 10,586,051,352.01/147,662.29
  6. Step 6: Final answer
    x = 71,690.96

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Why These Related Problems?

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