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Finding the Fourth Proportional to 218,441.60, 327,662.40 and 78,204.80

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Solution

The fourth proportional to 218,441.60, 327,662.40 and 78,204.80 is: 117,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,441.60 : 327,662.40 = 78,204.80 : x
  2. Step 2: Convert to fraction form
    218,441.60/327,662.40 = 78,204.80/x
  3. Step 3: Cross multiply
    218,441.60x = 327,662.40 × 78,204.80
  4. Step 4: Simplify right side
    218,441.60x = 25,624,772,459.52
  5. Step 5: Solve for x
    x = 25,624,772,459.52/218,441.60
  6. Step 6: Final answer
    x = 117,307.20

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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.