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Finding the Fourth Proportional to 229,131.30, 316,186.86 and 138,433.65

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Solution

The fourth proportional to 229,131.30, 316,186.86 and 138,433.65 is: 191,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,131.30 : 316,186.86 = 138,433.65 : x
  2. Step 2: Convert to fraction form
    229,131.30/316,186.86 = 138,433.65/x
  3. Step 3: Cross multiply
    229,131.30x = 316,186.86 × 138,433.65
  4. Step 4: Simplify right side
    229,131.30x = 43,770,901,111.84
  5. Step 5: Solve for x
    x = 43,770,901,111.84/229,131.30
  6. Step 6: Final answer
    x = 191,029.78

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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.