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Finding the Fourth Proportional to 223,304.38, 308,173.82 and 127,809.02

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Solution

The fourth proportional to 223,304.38, 308,173.82 and 127,809.02 is: 176,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,304.38 : 308,173.82 = 127,809.02 : x
  2. Step 2: Convert to fraction form
    223,304.38/308,173.82 = 127,809.02/x
  3. Step 3: Cross multiply
    223,304.38x = 308,173.82 × 127,809.02
  4. Step 4: Simplify right side
    223,304.38x = 39,387,393,923.86
  5. Step 5: Solve for x
    x = 39,387,393,923.86/223,304.38
  6. Step 6: Final answer
    x = 176,384.33

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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.