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Finding the Fourth Proportional to 160,139, 220,991.82 and 89,483

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Solution

The fourth proportional to 160,139, 220,991.82 and 89,483 is: 123,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,139 : 220,991.82 = 89,483 : x
  2. Step 2: Convert to fraction form
    160,139/220,991.82 = 89,483/x
  3. Step 3: Cross multiply
    160,139x = 220,991.82 × 89,483
  4. Step 4: Simplify right side
    160,139x = 19,775,011,029.06
  5. Step 5: Solve for x
    x = 19,775,011,029.06/160,139
  6. Step 6: Final answer
    x = 123,486.54

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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.