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Finding the Fourth Proportional to 192,057.20, 287,740.20 and 164,409.20

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Solution

The fourth proportional to 192,057.20, 287,740.20 and 164,409.20 is: 246,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,057.20 : 287,740.20 = 164,409.20 : x
  2. Step 2: Convert to fraction form
    192,057.20/287,740.20 = 164,409.20/x
  3. Step 3: Cross multiply
    192,057.20x = 287,740.20 × 164,409.20
  4. Step 4: Simplify right side
    192,057.20x = 47,307,136,089.84
  5. Step 5: Solve for x
    x = 47,307,136,089.84/192,057.20
  6. Step 6: Final answer
    x = 246,317.95

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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.