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Finding the Fourth Proportional to 281,057.28, 421,750.86 and 103,687.94

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Solution

The fourth proportional to 281,057.28, 421,750.86 and 103,687.94 is: 155,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,057.28 : 421,750.86 = 103,687.94 : x
  2. Step 2: Convert to fraction form
    281,057.28/421,750.86 = 103,687.94/x
  3. Step 3: Cross multiply
    281,057.28x = 421,750.86 × 103,687.94
  4. Step 4: Simplify right side
    281,057.28x = 43,730,477,866.63
  5. Step 5: Solve for x
    x = 43,730,477,866.63/281,057.28
  6. Step 6: Final answer
    x = 155,592.76

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Why These Related Problems?

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