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Finding the Fourth Proportional to 208,199.70, 312,506.91 and 114,749.46

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Solution

The fourth proportional to 208,199.70, 312,506.91 and 114,749.46 is: 172,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,199.70 : 312,506.91 = 114,749.46 : x
  2. Step 2: Convert to fraction form
    208,199.70/312,506.91 = 114,749.46/x
  3. Step 3: Cross multiply
    208,199.70x = 312,506.91 × 114,749.46
  4. Step 4: Simplify right side
    208,199.70x = 35,859,999,168.77
  5. Step 5: Solve for x
    x = 35,859,999,168.77/208,199.70
  6. Step 6: Final answer
    x = 172,238.48

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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.