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Finding the Fourth Proportional to 281,192.25, 388,026.03 and 160,338.63

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Solution

The fourth proportional to 281,192.25, 388,026.03 and 160,338.63 is: 221,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,192.25 : 388,026.03 = 160,338.63 : x
  2. Step 2: Convert to fraction form
    281,192.25/388,026.03 = 160,338.63/x
  3. Step 3: Cross multiply
    281,192.25x = 388,026.03 × 160,338.63
  4. Step 4: Simplify right side
    281,192.25x = 62,215,562,054.54
  5. Step 5: Solve for x
    x = 62,215,562,054.54/281,192.25
  6. Step 6: Final answer
    x = 221,256.32

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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.