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Finding the Fourth Proportional to 176,082.30, 264,123.45 and 51,423.30

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Solution

The fourth proportional to 176,082.30, 264,123.45 and 51,423.30 is: 77,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,082.30 : 264,123.45 = 51,423.30 : x
  2. Step 2: Convert to fraction form
    176,082.30/264,123.45 = 51,423.30/x
  3. Step 3: Cross multiply
    176,082.30x = 264,123.45 × 51,423.30
  4. Step 4: Simplify right side
    176,082.30x = 13,582,099,406.39
  5. Step 5: Solve for x
    x = 13,582,099,406.39/176,082.30
  6. Step 6: Final answer
    x = 77,134.95

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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.