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Finding the Fourth Proportional to 215,453.58, 322,572.76 and 114,021.88

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Solution

The fourth proportional to 215,453.58, 322,572.76 and 114,021.88 is: 170,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,453.58 : 322,572.76 = 114,021.88 : x
  2. Step 2: Convert to fraction form
    215,453.58/322,572.76 = 114,021.88/x
  3. Step 3: Cross multiply
    215,453.58x = 322,572.76 × 114,021.88
  4. Step 4: Simplify right side
    215,453.58x = 36,780,352,531.99
  5. Step 5: Solve for x
    x = 36,780,352,531.99/215,453.58
  6. Step 6: Final answer
    x = 170,711.26

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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.