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Finding the Fourth Proportional to 229,725.87, 316,975.23 and 134,214.12

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Solution

The fourth proportional to 229,725.87, 316,975.23 and 134,214.12 is: 185,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,725.87 : 316,975.23 = 134,214.12 : x
  2. Step 2: Convert to fraction form
    229,725.87/316,975.23 = 134,214.12/x
  3. Step 3: Cross multiply
    229,725.87x = 316,975.23 × 134,214.12
  4. Step 4: Simplify right side
    229,725.87x = 42,542,551,556.25
  5. Step 5: Solve for x
    x = 42,542,551,556.25/229,725.87
  6. Step 6: Final answer
    x = 185,188.34

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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.