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Finding the Fourth Proportional to 229,680.49, 316,976.83 and 137,803.23

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Solution

The fourth proportional to 229,680.49, 316,976.83 and 137,803.23 is: 190,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,680.49 : 316,976.83 = 137,803.23 : x
  2. Step 2: Convert to fraction form
    229,680.49/316,976.83 = 137,803.23/x
  3. Step 3: Cross multiply
    229,680.49x = 316,976.83 × 137,803.23
  4. Step 4: Simplify right side
    229,680.49x = 43,680,431,009.16
  5. Step 5: Solve for x
    x = 43,680,431,009.16/229,680.49
  6. Step 6: Final answer
    x = 190,179.11

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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.