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Finding the Fourth Proportional to 205,814.80, 308,916.60 and 127,082.80

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Solution

The fourth proportional to 205,814.80, 308,916.60 and 127,082.80 is: 190,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,814.80 : 308,916.60 = 127,082.80 : x
  2. Step 2: Convert to fraction form
    205,814.80/308,916.60 = 127,082.80/x
  3. Step 3: Cross multiply
    205,814.80x = 308,916.60 × 127,082.80
  4. Step 4: Simplify right side
    205,814.80x = 39,257,986,494.48
  5. Step 5: Solve for x
    x = 39,257,986,494.48/205,814.80
  6. Step 6: Final answer
    x = 190,744.23

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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.