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Finding the Fourth Proportional to 233,497.65, 322,213.62 and 138,013.23

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Solution

The fourth proportional to 233,497.65, 322,213.62 and 138,013.23 is: 190,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,497.65 : 322,213.62 = 138,013.23 : x
  2. Step 2: Convert to fraction form
    233,497.65/322,213.62 = 138,013.23/x
  3. Step 3: Cross multiply
    233,497.65x = 322,213.62 × 138,013.23
  4. Step 4: Simplify right side
    233,497.65x = 44,469,742,446.19
  5. Step 5: Solve for x
    x = 44,469,742,446.19/233,497.65
  6. Step 6: Final answer
    x = 190,450.49

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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.