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Finding the Fourth Proportional to 208,346.02, 312,519.14 and 58,586.31

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Solution

The fourth proportional to 208,346.02, 312,519.14 and 58,586.31 is: 87,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,346.02 : 312,519.14 = 58,586.31 : x
  2. Step 2: Convert to fraction form
    208,346.02/312,519.14 = 58,586.31/x
  3. Step 3: Cross multiply
    208,346.02x = 312,519.14 × 58,586.31
  4. Step 4: Simplify right side
    208,346.02x = 18,309,343,216.97
  5. Step 5: Solve for x
    x = 18,309,343,216.97/208,346.02
  6. Step 6: Final answer
    x = 87,879.50

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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.