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Finding the Fourth Proportional to 365,655.60, 548,224.20 and 140,929.20

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Solution

The fourth proportional to 365,655.60, 548,224.20 and 140,929.20 is: 211,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,655.60 : 548,224.20 = 140,929.20 : x
  2. Step 2: Convert to fraction form
    365,655.60/548,224.20 = 140,929.20/x
  3. Step 3: Cross multiply
    365,655.60x = 548,224.20 × 140,929.20
  4. Step 4: Simplify right side
    365,655.60x = 77,260,797,926.64
  5. Step 5: Solve for x
    x = 77,260,797,926.64/365,655.60
  6. Step 6: Final answer
    x = 211,293.90

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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.