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Finding the Fourth Proportional to 146,962.76, 220,478.76 and 41,782.64

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Solution

The fourth proportional to 146,962.76, 220,478.76 and 41,782.64 is: 62,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,962.76 : 220,478.76 = 41,782.64 : x
  2. Step 2: Convert to fraction form
    146,962.76/220,478.76 = 41,782.64/x
  3. Step 3: Cross multiply
    146,962.76x = 220,478.76 × 41,782.64
  4. Step 4: Simplify right side
    146,962.76x = 9,212,183,554.33
  5. Step 5: Solve for x
    x = 9,212,183,554.33/146,962.76
  6. Step 6: Final answer
    x = 62,683.80

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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.