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Finding the Fourth Proportional to 229,698.96, 316,991.42 and 126,327.76

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Solution

The fourth proportional to 229,698.96, 316,991.42 and 126,327.76 is: 174,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,698.96 : 316,991.42 = 126,327.76 : x
  2. Step 2: Convert to fraction form
    229,698.96/316,991.42 = 126,327.76/x
  3. Step 3: Cross multiply
    229,698.96x = 316,991.42 × 126,327.76
  4. Step 4: Simplify right side
    229,698.96x = 40,044,816,027.82
  5. Step 5: Solve for x
    x = 40,044,816,027.82/229,698.96
  6. Step 6: Final answer
    x = 174,336.08

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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.