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Finding the Fourth Proportional to 214,903.20, 322,241.40 and 72,699.60

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Solution

The fourth proportional to 214,903.20, 322,241.40 and 72,699.60 is: 109,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,903.20 : 322,241.40 = 72,699.60 : x
  2. Step 2: Convert to fraction form
    214,903.20/322,241.40 = 72,699.60/x
  3. Step 3: Cross multiply
    214,903.20x = 322,241.40 × 72,699.60
  4. Step 4: Simplify right side
    214,903.20x = 23,426,820,883.44
  5. Step 5: Solve for x
    x = 23,426,820,883.44/214,903.20
  6. Step 6: Final answer
    x = 109,011.04

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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.