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Finding the Fourth Proportional to 147,178.65, 220,770 and 41,997.59

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Solution

The fourth proportional to 147,178.65, 220,770 and 41,997.59 is: 62,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,178.65 : 220,770 = 41,997.59 : x
  2. Step 2: Convert to fraction form
    147,178.65/220,770 = 41,997.59/x
  3. Step 3: Cross multiply
    147,178.65x = 220,770 × 41,997.59
  4. Step 4: Simplify right side
    147,178.65x = 9,271,807,944.30
  5. Step 5: Solve for x
    x = 9,271,807,944.30/147,178.65
  6. Step 6: Final answer
    x = 62,996.96

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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.