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Finding the Fourth Proportional to 114,301.85, 171,136.00 and 86,136.70

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Solution

The fourth proportional to 114,301.85, 171,136.00 and 86,136.70 is: 128,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,301.85 : 171,136.00 = 86,136.70 : x
  2. Step 2: Convert to fraction form
    114,301.85/171,136.00 = 86,136.70/x
  3. Step 3: Cross multiply
    114,301.85x = 171,136.00 × 86,136.70
  4. Step 4: Simplify right side
    114,301.85x = 14,741,090,589.94
  5. Step 5: Solve for x
    x = 14,741,090,589.94/114,301.85
  6. Step 6: Final answer
    x = 128,966.34

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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.