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Finding the Fourth Proportional to 353,449.20, 530,173.80 and 142,978.80

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Solution

The fourth proportional to 353,449.20, 530,173.80 and 142,978.80 is: 214,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,449.20 : 530,173.80 = 142,978.80 : x
  2. Step 2: Convert to fraction form
    353,449.20/530,173.80 = 142,978.80/x
  3. Step 3: Cross multiply
    353,449.20x = 530,173.80 × 142,978.80
  4. Step 4: Simplify right side
    353,449.20x = 75,803,613,715.44
  5. Step 5: Solve for x
    x = 75,803,613,715.44/353,449.20
  6. Step 6: Final answer
    x = 214,468.20

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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.