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Finding the Fourth Proportional to 234,537.90, 323,678.49 and 142,693.02

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Solution

The fourth proportional to 234,537.90, 323,678.49 and 142,693.02 is: 196,926.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,537.90 : 323,678.49 = 142,693.02 : x
  2. Step 2: Convert to fraction form
    234,537.90/323,678.49 = 142,693.02/x
  3. Step 3: Cross multiply
    234,537.90x = 323,678.49 × 142,693.02
  4. Step 4: Simplify right side
    234,537.90x = 46,186,661,247.14
  5. Step 5: Solve for x
    x = 46,186,661,247.14/234,537.90
  6. Step 6: Final answer
    x = 196,926.22

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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.