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Finding the Fourth Proportional to 229,732.87, 316,984.89 and 134,221.12

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Solution

The fourth proportional to 229,732.87, 316,984.89 and 134,221.12 is: 185,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,732.87 : 316,984.89 = 134,221.12 : x
  2. Step 2: Convert to fraction form
    229,732.87/316,984.89 = 134,221.12/x
  3. Step 3: Cross multiply
    229,732.87x = 316,984.89 × 134,221.12
  4. Step 4: Simplify right side
    229,732.87x = 42,546,066,958.88
  5. Step 5: Solve for x
    x = 42,546,066,958.88/229,732.87
  6. Step 6: Final answer
    x = 185,198.00

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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.