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Finding the Fourth Proportional to 229,725.42, 316,974.62 and 134,213.66

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Solution

The fourth proportional to 229,725.42, 316,974.62 and 134,213.66 is: 185,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,725.42 : 316,974.62 = 134,213.66 : x
  2. Step 2: Convert to fraction form
    229,725.42/316,974.62 = 134,213.66/x
  3. Step 3: Cross multiply
    229,725.42x = 316,974.62 × 134,213.66
  4. Step 4: Simplify right side
    229,725.42x = 42,542,323,877.31
  5. Step 5: Solve for x
    x = 42,542,323,877.31/229,725.42
  6. Step 6: Final answer
    x = 185,187.71

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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.