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Finding the Fourth Proportional to 119,608.56, 179,412.84 and 82,054.80

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Solution

The fourth proportional to 119,608.56, 179,412.84 and 82,054.80 is: 123,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,608.56 : 179,412.84 = 82,054.80 : x
  2. Step 2: Convert to fraction form
    119,608.56/179,412.84 = 82,054.80/x
  3. Step 3: Cross multiply
    119,608.56x = 179,412.84 × 82,054.80
  4. Step 4: Simplify right side
    119,608.56x = 14,721,684,703.63
  5. Step 5: Solve for x
    x = 14,721,684,703.63/119,608.56
  6. Step 6: Final answer
    x = 123,082.20

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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.