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Finding the Fourth Proportional to 208,354.36, 312,532.08 and 50,582.56

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Solution

The fourth proportional to 208,354.36, 312,532.08 and 50,582.56 is: 75,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,354.36 : 312,532.08 = 50,582.56 : x
  2. Step 2: Convert to fraction form
    208,354.36/312,532.08 = 50,582.56/x
  3. Step 3: Cross multiply
    208,354.36x = 312,532.08 × 50,582.56
  4. Step 4: Simplify right side
    208,354.36x = 15,808,672,688.52
  5. Step 5: Solve for x
    x = 15,808,672,688.52/208,354.36
  6. Step 6: Final answer
    x = 75,873.97

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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.