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Finding the Fourth Proportional to 312,187.41, 430,818.54 and 168,947.41

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Solution

The fourth proportional to 312,187.41, 430,818.54 and 168,947.41 is: 233,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,187.41 : 430,818.54 = 168,947.41 : x
  2. Step 2: Convert to fraction form
    312,187.41/430,818.54 = 168,947.41/x
  3. Step 3: Cross multiply
    312,187.41x = 430,818.54 × 168,947.41
  4. Step 4: Simplify right side
    312,187.41x = 72,785,676,512.98
  5. Step 5: Solve for x
    x = 72,785,676,512.98/312,187.41
  6. Step 6: Final answer
    x = 233,147.38

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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.