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Finding the Fourth Proportional to 275,693.70, 413,540.55 and 117,938.10

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Solution

The fourth proportional to 275,693.70, 413,540.55 and 117,938.10 is: 176,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,693.70 : 413,540.55 = 117,938.10 : x
  2. Step 2: Convert to fraction form
    275,693.70/413,540.55 = 117,938.10/x
  3. Step 3: Cross multiply
    275,693.70x = 413,540.55 × 117,938.10
  4. Step 4: Simplify right side
    275,693.70x = 48,772,186,739.96
  5. Step 5: Solve for x
    x = 48,772,186,739.96/275,693.70
  6. Step 6: Final answer
    x = 176,907.15

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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.