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Finding the Fourth Proportional to 312,190.38, 430,822.72 and 168,950.45

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Solution

The fourth proportional to 312,190.38, 430,822.72 and 168,950.45 is: 233,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,190.38 : 430,822.72 = 168,950.45 : x
  2. Step 2: Convert to fraction form
    312,190.38/430,822.72 = 168,950.45/x
  3. Step 3: Cross multiply
    312,190.38x = 430,822.72 × 168,950.45
  4. Step 4: Simplify right side
    312,190.38x = 72,787,689,415.36
  5. Step 5: Solve for x
    x = 72,787,689,415.36/312,190.38
  6. Step 6: Final answer
    x = 233,151.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.