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Finding the Fourth Proportional to 213,769.76, 295,015.97 and 123,123.77

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Solution

The fourth proportional to 213,769.76, 295,015.97 and 123,123.77 is: 169,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,769.76 : 295,015.97 = 123,123.77 : x
  2. Step 2: Convert to fraction form
    213,769.76/295,015.97 = 123,123.77/x
  3. Step 3: Cross multiply
    213,769.76x = 295,015.97 × 123,123.77
  4. Step 4: Simplify right side
    213,769.76x = 36,323,479,205.38
  5. Step 5: Solve for x
    x = 36,323,479,205.38/213,769.76
  6. Step 6: Final answer
    x = 169,918.70

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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.