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Finding the Fourth Proportional to 275,864.98, 413,802.67 and 76,190.67

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Solution

The fourth proportional to 275,864.98, 413,802.67 and 76,190.67 is: 114,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,864.98 : 413,802.67 = 76,190.67 : x
  2. Step 2: Convert to fraction form
    275,864.98/413,802.67 = 76,190.67/x
  3. Step 3: Cross multiply
    275,864.98x = 413,802.67 × 76,190.67
  4. Step 4: Simplify right side
    275,864.98x = 31,527,900,606.08
  5. Step 5: Solve for x
    x = 31,527,900,606.08/275,864.98
  6. Step 6: Final answer
    x = 114,287.43

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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.