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Finding the Fourth Proportional to 118,938.76, 178,414.86 and 52,409.96

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Solution

The fourth proportional to 118,938.76, 178,414.86 and 52,409.96 is: 78,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,938.76 : 178,414.86 = 52,409.96 : x
  2. Step 2: Convert to fraction form
    118,938.76/178,414.86 = 52,409.96/x
  3. Step 3: Cross multiply
    118,938.76x = 178,414.86 × 52,409.96
  4. Step 4: Simplify right side
    118,938.76x = 9,350,715,676.01
  5. Step 5: Solve for x
    x = 9,350,715,676.01/118,938.76
  6. Step 6: Final answer
    x = 78,617.90

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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.