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Finding the Fourth Proportional to 234,775.98, 323,996.40 and 142,863.66

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Solution

The fourth proportional to 234,775.98, 323,996.40 and 142,863.66 is: 197,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,775.98 : 323,996.40 = 142,863.66 : x
  2. Step 2: Convert to fraction form
    234,775.98/323,996.40 = 142,863.66/x
  3. Step 3: Cross multiply
    234,775.98x = 323,996.40 × 142,863.66
  4. Step 4: Simplify right side
    234,775.98x = 46,287,311,530.82
  5. Step 5: Solve for x
    x = 46,287,311,530.82/234,775.98
  6. Step 6: Final answer
    x = 197,155.23

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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.