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Finding the Fourth Proportional to 208,694.24, 312,978.72 and 58,898.24

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Solution

The fourth proportional to 208,694.24, 312,978.72 and 58,898.24 is: 88,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,694.24 : 312,978.72 = 58,898.24 : x
  2. Step 2: Convert to fraction form
    208,694.24/312,978.72 = 58,898.24/x
  3. Step 3: Cross multiply
    208,694.24x = 312,978.72 × 58,898.24
  4. Step 4: Simplify right side
    208,694.24x = 18,433,895,765.45
  5. Step 5: Solve for x
    x = 18,433,895,765.45/208,694.24
  6. Step 6: Final answer
    x = 88,329.68

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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.