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Finding the Fourth Proportional to 118,769.31, 178,149.65 and 35,661.15

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Solution

The fourth proportional to 118,769.31, 178,149.65 and 35,661.15 is: 53,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,769.31 : 178,149.65 = 35,661.15 : x
  2. Step 2: Convert to fraction form
    118,769.31/178,149.65 = 35,661.15/x
  3. Step 3: Cross multiply
    118,769.31x = 178,149.65 × 35,661.15
  4. Step 4: Simplify right side
    118,769.31x = 6,353,021,212.79
  5. Step 5: Solve for x
    x = 6,353,021,212.79/118,769.31
  6. Step 6: Final answer
    x = 53,490.43

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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.