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Finding the Fourth Proportional to 275,865.48, 413,803.42 and 76,191.17

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Solution

The fourth proportional to 275,865.48, 413,803.42 and 76,191.17 is: 114,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,865.48 : 413,803.42 = 76,191.17 : x
  2. Step 2: Convert to fraction form
    275,865.48/413,803.42 = 76,191.17/x
  3. Step 3: Cross multiply
    275,865.48x = 413,803.42 × 76,191.17
  4. Step 4: Simplify right side
    275,865.48x = 31,528,164,650.78
  5. Step 5: Solve for x
    x = 31,528,164,650.78/275,865.48
  6. Step 6: Final answer
    x = 114,288.18

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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.