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Finding the Fourth Proportional to 275,858.76, 413,493.66 and 157,274.76

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Solution

The fourth proportional to 275,858.76, 413,493.66 and 157,274.76 is: 235,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,858.76 : 413,493.66 = 157,274.76 : x
  2. Step 2: Convert to fraction form
    275,858.76/413,493.66 = 157,274.76/x
  3. Step 3: Cross multiply
    275,858.76x = 413,493.66 × 157,274.76
  4. Step 4: Simplify right side
    275,858.76x = 65,032,116,138.02
  5. Step 5: Solve for x
    x = 65,032,116,138.02/275,858.76
  6. Step 6: Final answer
    x = 235,744.25

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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.