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Finding the Fourth Proportional to 276,898.92, 382,122.24 and 162,245.30

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Solution

The fourth proportional to 276,898.92, 382,122.24 and 162,245.30 is: 223,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,898.92 : 382,122.24 = 162,245.30 : x
  2. Step 2: Convert to fraction form
    276,898.92/382,122.24 = 162,245.30/x
  3. Step 3: Cross multiply
    276,898.92x = 382,122.24 × 162,245.30
  4. Step 4: Simplify right side
    276,898.92x = 61,997,537,465.47
  5. Step 5: Solve for x
    x = 61,997,537,465.47/276,898.92
  6. Step 6: Final answer
    x = 223,899.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.