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Finding the Fourth Proportional to 281,378.13, 388,338.87 and 160,491.70

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Solution

The fourth proportional to 281,378.13, 388,338.87 and 160,491.70 is: 221,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,378.13 : 388,338.87 = 160,491.70 : x
  2. Step 2: Convert to fraction form
    281,378.13/388,338.87 = 160,491.70/x
  3. Step 3: Cross multiply
    281,378.13x = 388,338.87 × 160,491.70
  4. Step 4: Simplify right side
    281,378.13x = 62,325,165,422.38
  5. Step 5: Solve for x
    x = 62,325,165,422.38/281,378.13
  6. Step 6: Final answer
    x = 221,499.68

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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.