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Finding the Fourth Proportional to 146,005.62, 218,964.69 and 52,489.50

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Solution

The fourth proportional to 146,005.62, 218,964.69 and 52,489.50 is: 78,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,005.62 : 218,964.69 = 52,489.50 : x
  2. Step 2: Convert to fraction form
    146,005.62/218,964.69 = 52,489.50/x
  3. Step 3: Cross multiply
    146,005.62x = 218,964.69 × 52,489.50
  4. Step 4: Simplify right side
    146,005.62x = 11,493,347,095.76
  5. Step 5: Solve for x
    x = 11,493,347,095.76/146,005.62
  6. Step 6: Final answer
    x = 78,718.53

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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.