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Finding the Fourth Proportional to 146,709.96, 220,064.94 and 41,529.84

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Solution

The fourth proportional to 146,709.96, 220,064.94 and 41,529.84 is: 62,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,709.96 : 220,064.94 = 41,529.84 : x
  2. Step 2: Convert to fraction form
    146,709.96/220,064.94 = 41,529.84/x
  3. Step 3: Cross multiply
    146,709.96x = 220,064.94 × 41,529.84
  4. Step 4: Simplify right side
    146,709.96x = 9,139,261,747.81
  5. Step 5: Solve for x
    x = 9,139,261,747.81/146,709.96
  6. Step 6: Final answer
    x = 62,294.76

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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.