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Finding the Fourth Proportional to 274,028.41, 378,159.06 and 160,851.16

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Solution

The fourth proportional to 274,028.41, 378,159.06 and 160,851.16 is: 221,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,028.41 : 378,159.06 = 160,851.16 : x
  2. Step 2: Convert to fraction form
    274,028.41/378,159.06 = 160,851.16/x
  3. Step 3: Cross multiply
    274,028.41x = 378,159.06 × 160,851.16
  4. Step 4: Simplify right side
    274,028.41x = 60,827,321,574.71
  5. Step 5: Solve for x
    x = 60,827,321,574.71/274,028.41
  6. Step 6: Final answer
    x = 221,974.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.