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Finding the Fourth Proportional to 146,185.19, 219,101.19 and 71,192.96

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Solution

The fourth proportional to 146,185.19, 219,101.19 and 71,192.96 is: 106,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,185.19 : 219,101.19 = 71,192.96 : x
  2. Step 2: Convert to fraction form
    146,185.19/219,101.19 = 71,192.96/x
  3. Step 3: Cross multiply
    146,185.19x = 219,101.19 × 71,192.96
  4. Step 4: Simplify right side
    146,185.19x = 15,598,461,160.12
  5. Step 5: Solve for x
    x = 15,598,461,160.12/146,185.19
  6. Step 6: Final answer
    x = 106,703.43

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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.