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Finding the Fourth Proportional to 229,212.96, 316,305.72 and 127,242.87

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Solution

The fourth proportional to 229,212.96, 316,305.72 and 127,242.87 is: 175,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,212.96 : 316,305.72 = 127,242.87 : x
  2. Step 2: Convert to fraction form
    229,212.96/316,305.72 = 127,242.87/x
  3. Step 3: Cross multiply
    229,212.96x = 316,305.72 × 127,242.87
  4. Step 4: Simplify right side
    229,212.96x = 40,247,647,610.22
  5. Step 5: Solve for x
    x = 40,247,647,610.22/229,212.96
  6. Step 6: Final answer
    x = 175,590.63

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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.