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Finding the Fourth Proportional to 146,441, 219,841.04 and 96,562.80

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Solution

The fourth proportional to 146,441, 219,841.04 and 96,562.80 is: 144,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,441 : 219,841.04 = 96,562.80 : x
  2. Step 2: Convert to fraction form
    146,441/219,841.04 = 96,562.80/x
  3. Step 3: Cross multiply
    146,441x = 219,841.04 × 96,562.80
  4. Step 4: Simplify right side
    146,441x = 21,228,466,377.31
  5. Step 5: Solve for x
    x = 21,228,466,377.31/146,441
  6. Step 6: Final answer
    x = 144,962.59

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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.