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Finding the Fourth Proportional to 208,534.56, 312,826.17 and 75,477.48

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Solution

The fourth proportional to 208,534.56, 312,826.17 and 75,477.48 is: 113,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,534.56 : 312,826.17 = 75,477.48 : x
  2. Step 2: Convert to fraction form
    208,534.56/312,826.17 = 75,477.48/x
  3. Step 3: Cross multiply
    208,534.56x = 312,826.17 × 75,477.48
  4. Step 4: Simplify right side
    208,534.56x = 23,611,332,162.75
  5. Step 5: Solve for x
    x = 23,611,332,162.75/208,534.56
  6. Step 6: Final answer
    x = 113,225.03

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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.