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Finding the Fourth Proportional to 234,386.64, 323,450.73 and 142,475.48

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Solution

The fourth proportional to 234,386.64, 323,450.73 and 142,475.48 is: 196,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,386.64 : 323,450.73 = 142,475.48 : x
  2. Step 2: Convert to fraction form
    234,386.64/323,450.73 = 142,475.48/x
  3. Step 3: Cross multiply
    234,386.64x = 323,450.73 × 142,475.48
  4. Step 4: Simplify right side
    234,386.64x = 46,083,798,013.10
  5. Step 5: Solve for x
    x = 46,083,798,013.10/234,386.64
  6. Step 6: Final answer
    x = 196,614.44

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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.