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Finding the Fourth Proportional to 176,541.28, 264,728.68 and 64,142.24

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Solution

The fourth proportional to 176,541.28, 264,728.68 and 64,142.24 is: 96,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,541.28 : 264,728.68 = 64,142.24 : x
  2. Step 2: Convert to fraction form
    176,541.28/264,728.68 = 64,142.24/x
  3. Step 3: Cross multiply
    176,541.28x = 264,728.68 × 64,142.24
  4. Step 4: Simplify right side
    176,541.28x = 16,980,290,527.44
  5. Step 5: Solve for x
    x = 16,980,290,527.44/176,541.28
  6. Step 6: Final answer
    x = 96,183.12

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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.