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Finding the Fourth Proportional to 119,174.82, 164,508.11 and 71,418.94

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Solution

The fourth proportional to 119,174.82, 164,508.11 and 71,418.94 is: 98,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,174.82 : 164,508.11 = 71,418.94 : x
  2. Step 2: Convert to fraction form
    119,174.82/164,508.11 = 71,418.94/x
  3. Step 3: Cross multiply
    119,174.82x = 164,508.11 × 71,418.94
  4. Step 4: Simplify right side
    119,174.82x = 11,748,994,953.96
  5. Step 5: Solve for x
    x = 11,748,994,953.96/119,174.82
  6. Step 6: Final answer
    x = 98,586.22

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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.