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Finding the Fourth Proportional to 281,216.24, 388,085.10 and 160,369.10

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Solution

The fourth proportional to 281,216.24, 388,085.10 and 160,369.10 is: 221,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,216.24 : 388,085.10 = 160,369.10 : x
  2. Step 2: Convert to fraction form
    281,216.24/388,085.10 = 160,369.10/x
  3. Step 3: Cross multiply
    281,216.24x = 388,085.10 × 160,369.10
  4. Step 4: Simplify right side
    281,216.24x = 62,236,858,210.41
  5. Step 5: Solve for x
    x = 62,236,858,210.41/281,216.24
  6. Step 6: Final answer
    x = 221,313.17

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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.