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Finding the Fourth Proportional to 192,280.94, 288,495.27 and 135,409.42

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Solution

The fourth proportional to 192,280.94, 288,495.27 and 135,409.42 is: 203,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,280.94 : 288,495.27 = 135,409.42 : x
  2. Step 2: Convert to fraction form
    192,280.94/288,495.27 = 135,409.42/x
  3. Step 3: Cross multiply
    192,280.94x = 288,495.27 × 135,409.42
  4. Step 4: Simplify right side
    192,280.94x = 39,064,977,544.06
  5. Step 5: Solve for x
    x = 39,064,977,544.06/192,280.94
  6. Step 6: Final answer
    x = 203,166.15

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1.5x scale

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.