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Finding the Fourth Proportional to 281,057.04, 387,857.16 and 160,218

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Solution

The fourth proportional to 281,057.04, 387,857.16 and 160,218 is: 221,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,057.04 : 387,857.16 = 160,218 : x
  2. Step 2: Convert to fraction form
    281,057.04/387,857.16 = 160,218/x
  3. Step 3: Cross multiply
    281,057.04x = 387,857.16 × 160,218
  4. Step 4: Simplify right side
    281,057.04x = 62,141,698,460.88
  5. Step 5: Solve for x
    x = 62,141,698,460.88/281,057.04
  6. Step 6: Final answer
    x = 221,099.95

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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.