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Finding the Fourth Proportional to 114,136.79, 157,563.68 and 75,959.87

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Solution

The fourth proportional to 114,136.79, 157,563.68 and 75,959.87 is: 104,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,136.79 : 157,563.68 = 75,959.87 : x
  2. Step 2: Convert to fraction form
    114,136.79/157,563.68 = 75,959.87/x
  3. Step 3: Cross multiply
    114,136.79x = 157,563.68 × 75,959.87
  4. Step 4: Simplify right side
    114,136.79x = 11,968,515,481.90
  5. Step 5: Solve for x
    x = 11,968,515,481.90/114,136.79
  6. Step 6: Final answer
    x = 104,861.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.