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Finding the Fourth Proportional to 119,393.34, 164,765.37 and 65,678.37

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Solution

The fourth proportional to 119,393.34, 164,765.37 and 65,678.37 is: 90,637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,393.34 : 164,765.37 = 65,678.37 : x
  2. Step 2: Convert to fraction form
    119,393.34/164,765.37 = 65,678.37/x
  3. Step 3: Cross multiply
    119,393.34x = 164,765.37 × 65,678.37
  4. Step 4: Simplify right side
    119,393.34x = 10,821,520,934.05
  5. Step 5: Solve for x
    x = 10,821,520,934.05/119,393.34
  6. Step 6: Final answer
    x = 90,637.56

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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.