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Finding the Fourth Proportional to 233,181.88, 321,815.82 and 142,590.76

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Solution

The fourth proportional to 233,181.88, 321,815.82 and 142,590.76 is: 196,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,181.88 : 321,815.82 = 142,590.76 : x
  2. Step 2: Convert to fraction form
    233,181.88/321,815.82 = 142,590.76/x
  3. Step 3: Cross multiply
    233,181.88x = 321,815.82 × 142,590.76
  4. Step 4: Simplify right side
    233,181.88x = 45,887,962,353.82
  5. Step 5: Solve for x
    x = 45,887,962,353.82/233,181.88
  6. Step 6: Final answer
    x = 196,790.43

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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.