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Finding the Fourth Proportional to 223,549.14, 308,503.65 and 122,949.78

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Solution

The fourth proportional to 223,549.14, 308,503.65 and 122,949.78 is: 169,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,549.14 : 308,503.65 = 122,949.78 : x
  2. Step 2: Convert to fraction form
    223,549.14/308,503.65 = 122,949.78/x
  3. Step 3: Cross multiply
    223,549.14x = 308,503.65 × 122,949.78
  4. Step 4: Simplify right side
    223,549.14x = 37,930,455,896.70
  5. Step 5: Solve for x
    x = 37,930,455,896.70/223,549.14
  6. Step 6: Final answer
    x = 169,673.91

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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.