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Finding the Fourth Proportional to 275,930.88, 413,550.24 and 117,973.92

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Solution

The fourth proportional to 275,930.88, 413,550.24 and 117,973.92 is: 176,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,930.88 : 413,550.24 = 117,973.92 : x
  2. Step 2: Convert to fraction form
    275,930.88/413,550.24 = 117,973.92/x
  3. Step 3: Cross multiply
    275,930.88x = 413,550.24 × 117,973.92
  4. Step 4: Simplify right side
    275,930.88x = 48,788,142,929.74
  5. Step 5: Solve for x
    x = 48,788,142,929.74/275,930.88
  6. Step 6: Final answer
    x = 176,812.91

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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.