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Finding the Fourth Proportional to 223,678.06, 308,675.73 and 123,076.06

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Solution

The fourth proportional to 223,678.06, 308,675.73 and 123,076.06 is: 169,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,678.06 : 308,675.73 = 123,076.06 : x
  2. Step 2: Convert to fraction form
    223,678.06/308,675.73 = 123,076.06/x
  3. Step 3: Cross multiply
    223,678.06x = 308,675.73 × 123,076.06
  4. Step 4: Simplify right side
    223,678.06x = 37,990,593,130.02
  5. Step 5: Solve for x
    x = 37,990,593,130.02/223,678.06
  6. Step 6: Final answer
    x = 169,844.97

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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.