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Finding the Fourth Proportional to 274,146, 378,365.22 and 160,946.88

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Solution

The fourth proportional to 274,146, 378,365.22 and 160,946.88 is: 222,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,146 : 378,365.22 = 160,946.88 : x
  2. Step 2: Convert to fraction form
    274,146/378,365.22 = 160,946.88/x
  3. Step 3: Cross multiply
    274,146x = 378,365.22 × 160,946.88
  4. Step 4: Simplify right side
    274,146x = 60,896,701,659.51
  5. Step 5: Solve for x
    x = 60,896,701,659.51/274,146
  6. Step 6: Final answer
    x = 222,132.37

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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.