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Finding the Fourth Proportional to 281,022.30, 421,387.65 and 103,437.90

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Solution

The fourth proportional to 281,022.30, 421,387.65 and 103,437.90 is: 155,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,022.30 : 421,387.65 = 103,437.90 : x
  2. Step 2: Convert to fraction form
    281,022.30/421,387.65 = 103,437.90/x
  3. Step 3: Cross multiply
    281,022.30x = 421,387.65 × 103,437.90
  4. Step 4: Simplify right side
    281,022.30x = 43,587,453,601.94
  5. Step 5: Solve for x
    x = 43,587,453,601.94/281,022.30
  6. Step 6: Final answer
    x = 155,103.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.