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Finding the Fourth Proportional to 165,136.27, 227,886.77 and 89,684.77

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Solution

The fourth proportional to 165,136.27, 227,886.77 and 89,684.77 is: 123,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,136.27 : 227,886.77 = 89,684.77 : x
  2. Step 2: Convert to fraction form
    165,136.27/227,886.77 = 89,684.77/x
  3. Step 3: Cross multiply
    165,136.27x = 227,886.77 × 89,684.77
  4. Step 4: Simplify right side
    165,136.27x = 20,437,972,130.80
  5. Step 5: Solve for x
    x = 20,437,972,130.80/165,136.27
  6. Step 6: Final answer
    x = 123,764.28

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1.5x scale

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.