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Finding the Fourth Proportional to 223,864.82, 308,955.24 and 167,177.78

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Solution

The fourth proportional to 223,864.82, 308,955.24 and 167,177.78 is: 230,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,864.82 : 308,955.24 = 167,177.78 : x
  2. Step 2: Convert to fraction form
    223,864.82/308,955.24 = 167,177.78/x
  3. Step 3: Cross multiply
    223,864.82x = 308,955.24 × 167,177.78
  4. Step 4: Simplify right side
    223,864.82x = 51,650,451,142.57
  5. Step 5: Solve for x
    x = 51,650,451,142.57/223,864.82
  6. Step 6: Final answer
    x = 230,721.61

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1.5x scale

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.