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Finding the Fourth Proportional to 275,209.50, 379,437.63 and 178,242.07

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Solution

The fourth proportional to 275,209.50, 379,437.63 and 178,242.07 is: 245,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,209.50 : 379,437.63 = 178,242.07 : x
  2. Step 2: Convert to fraction form
    275,209.50/379,437.63 = 178,242.07/x
  3. Step 3: Cross multiply
    275,209.50x = 379,437.63 × 178,242.07
  4. Step 4: Simplify right side
    275,209.50x = 67,631,749,584.38
  5. Step 5: Solve for x
    x = 67,631,749,584.38/275,209.50
  6. Step 6: Final answer
    x = 245,746.42

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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.