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Finding the Fourth Proportional to 119,082.71, 178,530.84 and 81,529.22

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Solution

The fourth proportional to 119,082.71, 178,530.84 and 81,529.22 is: 122,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,082.71 : 178,530.84 = 81,529.22 : x
  2. Step 2: Convert to fraction form
    119,082.71/178,530.84 = 81,529.22/x
  3. Step 3: Cross multiply
    119,082.71x = 178,530.84 × 81,529.22
  4. Step 4: Simplify right side
    119,082.71x = 14,555,479,238.49
  5. Step 5: Solve for x
    x = 14,555,479,238.49/119,082.71
  6. Step 6: Final answer
    x = 122,230.00

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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.