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Finding the Fourth Proportional to 229,273.76, 316,397.60 and 133,761.96

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Solution

The fourth proportional to 229,273.76, 316,397.60 and 133,761.96 is: 184,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,273.76 : 316,397.60 = 133,761.96 : x
  2. Step 2: Convert to fraction form
    229,273.76/316,397.60 = 133,761.96/x
  3. Step 3: Cross multiply
    229,273.76x = 316,397.60 × 133,761.96
  4. Step 4: Simplify right side
    229,273.76x = 42,321,963,115.30
  5. Step 5: Solve for x
    x = 42,321,963,115.30/229,273.76
  6. Step 6: Final answer
    x = 184,591.39

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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.