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Finding the Fourth Proportional to 102,584.70, 153,855.45 and 43,422.30

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Solution

The fourth proportional to 102,584.70, 153,855.45 and 43,422.30 is: 65,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584.70 : 153,855.45 = 43,422.30 : x
  2. Step 2: Convert to fraction form
    102,584.70/153,855.45 = 43,422.30/x
  3. Step 3: Cross multiply
    102,584.70x = 153,855.45 × 43,422.30
  4. Step 4: Simplify right side
    102,584.70x = 6,680,757,506.54
  5. Step 5: Solve for x
    x = 6,680,757,506.54/102,584.70
  6. Step 6: Final answer
    x = 65,124.31

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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.