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Finding the Fourth Proportional to 364,069.20, 545,909.40 and 153,469.20

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Solution

The fourth proportional to 364,069.20, 545,909.40 and 153,469.20 is: 230,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,069.20 : 545,909.40 = 153,469.20 : x
  2. Step 2: Convert to fraction form
    364,069.20/545,909.40 = 153,469.20/x
  3. Step 3: Cross multiply
    364,069.20x = 545,909.40 × 153,469.20
  4. Step 4: Simplify right side
    364,069.20x = 83,780,278,890.48
  5. Step 5: Solve for x
    x = 83,780,278,890.48/364,069.20
  6. Step 6: Final answer
    x = 230,121.85

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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.