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Finding the Fourth Proportional to 160,948, 222,108.24 and 104,359.78

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Solution

The fourth proportional to 160,948, 222,108.24 and 104,359.78 is: 144,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,948 : 222,108.24 = 104,359.78 : x
  2. Step 2: Convert to fraction form
    160,948/222,108.24 = 104,359.78/x
  3. Step 3: Cross multiply
    160,948x = 222,108.24 × 104,359.78
  4. Step 4: Simplify right side
    160,948x = 23,179,167,062.59
  5. Step 5: Solve for x
    x = 23,179,167,062.59/160,948
  6. Step 6: Final answer
    x = 144,016.50

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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.