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Finding the Fourth Proportional to 223,288.29, 308,119.97 and 127,773.09

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Solution

The fourth proportional to 223,288.29, 308,119.97 and 127,773.09 is: 176,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,288.29 : 308,119.97 = 127,773.09 : x
  2. Step 2: Convert to fraction form
    223,288.29/308,119.97 = 127,773.09/x
  3. Step 3: Cross multiply
    223,288.29x = 308,119.97 × 127,773.09
  4. Step 4: Simplify right side
    223,288.29x = 39,369,440,018.74
  5. Step 5: Solve for x
    x = 39,369,440,018.74/223,288.29
  6. Step 6: Final answer
    x = 176,316.64

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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.