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Finding the Fourth Proportional to 229,633.68, 316,905.30 and 127,660.84

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Solution

The fourth proportional to 229,633.68, 316,905.30 and 127,660.84 is: 176,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,633.68 : 316,905.30 = 127,660.84 : x
  2. Step 2: Convert to fraction form
    229,633.68/316,905.30 = 127,660.84/x
  3. Step 3: Cross multiply
    229,633.68x = 316,905.30 × 127,660.84
  4. Step 4: Simplify right side
    229,633.68x = 40,456,396,715.86
  5. Step 5: Solve for x
    x = 40,456,396,715.86/229,633.68
  6. Step 6: Final answer
    x = 176,177.97

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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.