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Finding the Fourth Proportional to 119,563.22, 164,997.72 and 71,817.38

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Solution

The fourth proportional to 119,563.22, 164,997.72 and 71,817.38 is: 99,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,563.22 : 164,997.72 = 71,817.38 : x
  2. Step 2: Convert to fraction form
    119,563.22/164,997.72 = 71,817.38/x
  3. Step 3: Cross multiply
    119,563.22x = 164,997.72 × 71,817.38
  4. Step 4: Simplify right side
    119,563.22x = 11,849,703,956.37
  5. Step 5: Solve for x
    x = 11,849,703,956.37/119,563.22
  6. Step 6: Final answer
    x = 99,108.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.