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Finding the Fourth Proportional to 176,309.65, 264,233.46 and 81,527.80

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Solution

The fourth proportional to 176,309.65, 264,233.46 and 81,527.80 is: 122,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,309.65 : 264,233.46 = 81,527.80 : x
  2. Step 2: Convert to fraction form
    176,309.65/264,233.46 = 81,527.80/x
  3. Step 3: Cross multiply
    176,309.65x = 264,233.46 × 81,527.80
  4. Step 4: Simplify right side
    176,309.65x = 21,542,372,680.19
  5. Step 5: Solve for x
    x = 21,542,372,680.19/176,309.65
  6. Step 6: Final answer
    x = 122,184.88

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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.