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Finding the Fourth Proportional to 275,693.80, 413,485.50 and 75,962.92

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Solution

The fourth proportional to 275,693.80, 413,485.50 and 75,962.92 is: 113,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,693.80 : 413,485.50 = 75,962.92 : x
  2. Step 2: Convert to fraction form
    275,693.80/413,485.50 = 75,962.92/x
  3. Step 3: Cross multiply
    275,693.80x = 413,485.50 × 75,962.92
  4. Step 4: Simplify right side
    275,693.80x = 31,409,565,957.66
  5. Step 5: Solve for x
    x = 31,409,565,957.66/275,693.80
  6. Step 6: Final answer
    x = 113,929.17

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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.