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Finding the Fourth Proportional to 281,047.62, 421,576.90 and 103,463.22

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Solution

The fourth proportional to 281,047.62, 421,576.90 and 103,463.22 is: 155,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,047.62 : 421,576.90 = 103,463.22 : x
  2. Step 2: Convert to fraction form
    281,047.62/421,576.90 = 103,463.22/x
  3. Step 3: Cross multiply
    281,047.62x = 421,576.90 × 103,463.22
  4. Step 4: Simplify right side
    281,047.62x = 43,617,703,551.62
  5. Step 5: Solve for x
    x = 43,617,703,551.62/281,047.62
  6. Step 6: Final answer
    x = 155,196.84

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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.