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Finding the Fourth Proportional to 281,035.76, 421,719.96 and 103,667.44

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Solution

The fourth proportional to 281,035.76, 421,719.96 and 103,667.44 is: 155,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,035.76 : 421,719.96 = 103,667.44 : x
  2. Step 2: Convert to fraction form
    281,035.76/421,719.96 = 103,667.44/x
  3. Step 3: Cross multiply
    281,035.76x = 421,719.96 × 103,667.44
  4. Step 4: Simplify right side
    281,035.76x = 43,718,628,650.10
  5. Step 5: Solve for x
    x = 43,718,628,650.10/281,035.76
  6. Step 6: Final answer
    x = 155,562.51

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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.