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Finding the Fourth Proportional to 192,405.20, 288,607.80 and 109,461.20

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Solution

The fourth proportional to 192,405.20, 288,607.80 and 109,461.20 is: 164,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,405.20 : 288,607.80 = 109,461.20 : x
  2. Step 2: Convert to fraction form
    192,405.20/288,607.80 = 109,461.20/x
  3. Step 3: Cross multiply
    192,405.20x = 288,607.80 × 109,461.20
  4. Step 4: Simplify right side
    192,405.20x = 31,591,356,117.36
  5. Step 5: Solve for x
    x = 31,591,356,117.36/192,405.20
  6. Step 6: Final answer
    x = 164,191.80

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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.