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Finding the Fourth Proportional to 223,338.48, 308,191.14 and 127,843.80

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Solution

The fourth proportional to 223,338.48, 308,191.14 and 127,843.80 is: 176,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,338.48 : 308,191.14 = 127,843.80 : x
  2. Step 2: Convert to fraction form
    223,338.48/308,191.14 = 127,843.80/x
  3. Step 3: Cross multiply
    223,338.48x = 308,191.14 × 127,843.80
  4. Step 4: Simplify right side
    223,338.48x = 39,400,326,463.93
  5. Step 5: Solve for x
    x = 39,400,326,463.93/223,338.48
  6. Step 6: Final answer
    x = 176,415.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.