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Finding the Fourth Proportional to 363,814.20, 545,721.30 and 114,496.20

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Solution

The fourth proportional to 363,814.20, 545,721.30 and 114,496.20 is: 171,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,814.20 : 545,721.30 = 114,496.20 : x
  2. Step 2: Convert to fraction form
    363,814.20/545,721.30 = 114,496.20/x
  3. Step 3: Cross multiply
    363,814.20x = 545,721.30 × 114,496.20
  4. Step 4: Simplify right side
    363,814.20x = 62,483,015,109.06
  5. Step 5: Solve for x
    x = 62,483,015,109.06/363,814.20
  6. Step 6: Final answer
    x = 171,744.30

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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.