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Finding the Fourth Proportional to 192,808.48, 289,204.20 and 52,567.12

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Solution

The fourth proportional to 192,808.48, 289,204.20 and 52,567.12 is: 78,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,808.48 : 289,204.20 = 52,567.12 : x
  2. Step 2: Convert to fraction form
    192,808.48/289,204.20 = 52,567.12/x
  3. Step 3: Cross multiply
    192,808.48x = 289,204.20 × 52,567.12
  4. Step 4: Simplify right side
    192,808.48x = 15,202,631,885.90
  5. Step 5: Solve for x
    x = 15,202,631,885.90/192,808.48
  6. Step 6: Final answer
    x = 78,848.36

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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.