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Finding the Fourth Proportional to 264,484.92, 365,022.54 and 163,898.04

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Solution

The fourth proportional to 264,484.92, 365,022.54 and 163,898.04 is: 226,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,484.92 : 365,022.54 = 163,898.04 : x
  2. Step 2: Convert to fraction form
    264,484.92/365,022.54 = 163,898.04/x
  3. Step 3: Cross multiply
    264,484.92x = 365,022.54 × 163,898.04
  4. Step 4: Simplify right side
    264,484.92x = 59,826,478,861.82
  5. Step 5: Solve for x
    x = 59,826,478,861.82/264,484.92
  6. Step 6: Final answer
    x = 226,199.96

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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.