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Finding the Fourth Proportional to 229,667.46, 316,951.64 and 127,703.38

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Solution

The fourth proportional to 229,667.46, 316,951.64 and 127,703.38 is: 176,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,667.46 : 316,951.64 = 127,703.38 : x
  2. Step 2: Convert to fraction form
    229,667.46/316,951.64 = 127,703.38/x
  3. Step 3: Cross multiply
    229,667.46x = 316,951.64 × 127,703.38
  4. Step 4: Simplify right side
    229,667.46x = 40,475,795,724.54
  5. Step 5: Solve for x
    x = 40,475,795,724.54/229,667.46
  6. Step 6: Final answer
    x = 176,236.53

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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.