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Finding the Fourth Proportional to 119,403.54, 164,774.19 and 65,687.37

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Solution

The fourth proportional to 119,403.54, 164,774.19 and 65,687.37 is: 90,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,403.54 : 164,774.19 = 65,687.37 : x
  2. Step 2: Convert to fraction form
    119,403.54/164,774.19 = 65,687.37/x
  3. Step 3: Cross multiply
    119,403.54x = 164,774.19 × 65,687.37
  4. Step 4: Simplify right side
    119,403.54x = 10,823,583,184.98
  5. Step 5: Solve for x
    x = 10,823,583,184.98/119,403.54
  6. Step 6: Final answer
    x = 90,647.09

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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.