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Finding the Fourth Proportional to 223,296.54, 308,131.35 and 127,781.34

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Solution

The fourth proportional to 223,296.54, 308,131.35 and 127,781.34 is: 176,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,296.54 : 308,131.35 = 127,781.34 : x
  2. Step 2: Convert to fraction form
    223,296.54/308,131.35 = 127,781.34/x
  3. Step 3: Cross multiply
    223,296.54x = 308,131.35 × 127,781.34
  4. Step 4: Simplify right side
    223,296.54x = 39,373,436,799.01
  5. Step 5: Solve for x
    x = 39,373,436,799.01/223,296.54
  6. Step 6: Final answer
    x = 176,328.02

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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.